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Finding the Fourth Proportional to 64.52, 88.97 and 42.70

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Solution

The fourth proportional to 64.52, 88.97 and 42.70 is: 58.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.52 : 88.97 = 42.70 : x
  2. Step 2: Convert to fraction form
    64.52/88.97 = 42.70/x
  3. Step 3: Cross multiply
    64.52x = 88.97 × 42.70
  4. Step 4: Simplify right side
    64.52x = 3,798.90
  5. Step 5: Solve for x
    x = 3,798.90/64.52
  6. Step 6: Final answer
    x = 58.88

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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.