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Finding the Fourth Proportional to 151.03, 208.50 and 102.17

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Solution

The fourth proportional to 151.03, 208.50 and 102.17 is: 141.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.03 : 208.50 = 102.17 : x
  2. Step 2: Convert to fraction form
    151.03/208.50 = 102.17/x
  3. Step 3: Cross multiply
    151.03x = 208.50 × 102.17
  4. Step 4: Simplify right side
    151.03x = 21,302.45
  5. Step 5: Solve for x
    x = 21,302.45/151.03
  6. Step 6: Final answer
    x = 141.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.