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Finding the Fourth Proportional to 102.92, 142 and 66.01

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Solution

The fourth proportional to 102.92, 142 and 66.01 is: 91.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.92 : 142 = 66.01 : x
  2. Step 2: Convert to fraction form
    102.92/142 = 66.01/x
  3. Step 3: Cross multiply
    102.92x = 142 × 66.01
  4. Step 4: Simplify right side
    102.92x = 9,373.42
  5. Step 5: Solve for x
    x = 9,373.42/102.92
  6. Step 6: Final answer
    x = 91.07

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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.