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Finding the Fourth Proportional to 70.97, 106.88 and 62.52

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Solution

The fourth proportional to 70.97, 106.88 and 62.52 is: 94.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.97 : 106.88 = 62.52 : x
  2. Step 2: Convert to fraction form
    70.97/106.88 = 62.52/x
  3. Step 3: Cross multiply
    70.97x = 106.88 × 62.52
  4. Step 4: Simplify right side
    70.97x = 6,681.78
  5. Step 5: Solve for x
    x = 6,681.78/70.97
  6. Step 6: Final answer
    x = 94.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.