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Finding the Fourth Proportional to 151.68, 209.34 and 93.48

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Solution

The fourth proportional to 151.68, 209.34 and 93.48 is: 129.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.68 : 209.34 = 93.48 : x
  2. Step 2: Convert to fraction form
    151.68/209.34 = 93.48/x
  3. Step 3: Cross multiply
    151.68x = 209.34 × 93.48
  4. Step 4: Simplify right side
    151.68x = 19,569.10
  5. Step 5: Solve for x
    x = 19,569.10/151.68
  6. Step 6: Final answer
    x = 129.02

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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.