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Finding the Fourth Proportional to 64.02, 95.24 and 58.86

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Solution

The fourth proportional to 64.02, 95.24 and 58.86 is: 87.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.02 : 95.24 = 58.86 : x
  2. Step 2: Convert to fraction form
    64.02/95.24 = 58.86/x
  3. Step 3: Cross multiply
    64.02x = 95.24 × 58.86
  4. Step 4: Simplify right side
    64.02x = 5,605.53
  5. Step 5: Solve for x
    x = 5,605.53/64.02
  6. Step 6: Final answer
    x = 87.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.