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Finding the Fourth Proportional to 151.16, 208.38 and 101.94

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Solution

The fourth proportional to 151.16, 208.38 and 101.94 is: 140.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.16 : 208.38 = 101.94 : x
  2. Step 2: Convert to fraction form
    151.16/208.38 = 101.94/x
  3. Step 3: Cross multiply
    151.16x = 208.38 × 101.94
  4. Step 4: Simplify right side
    151.16x = 21,242.26
  5. Step 5: Solve for x
    x = 21,242.26/151.16
  6. Step 6: Final answer
    x = 140.53

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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.