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Finding the Fourth Proportional to 151.85, 209.51 and 105.17

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Solution

The fourth proportional to 151.85, 209.51 and 105.17 is: 145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.85 : 209.51 = 105.17 : x
  2. Step 2: Convert to fraction form
    151.85/209.51 = 105.17/x
  3. Step 3: Cross multiply
    151.85x = 209.51 × 105.17
  4. Step 4: Simplify right side
    151.85x = 22,032.59
  5. Step 5: Solve for x
    x = 22,032.59/151.85
  6. Step 6: Final answer
    x = 145.10

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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.