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Finding the Fourth Proportional to 101.47, 140.06 and 90.53

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Solution

The fourth proportional to 101.47, 140.06 and 90.53 is: 124.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.47 : 140.06 = 90.53 : x
  2. Step 2: Convert to fraction form
    101.47/140.06 = 90.53/x
  3. Step 3: Cross multiply
    101.47x = 140.06 × 90.53
  4. Step 4: Simplify right side
    101.47x = 12,680.21
  5. Step 5: Solve for x
    x = 12,680.21/101.47
  6. Step 6: Final answer
    x = 124.97

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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.