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Finding the Fourth Proportional to 63.47, 94.58 and 58.16

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Solution

The fourth proportional to 63.47, 94.58 and 58.16 is: 86.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.47 : 94.58 = 58.16 : x
  2. Step 2: Convert to fraction form
    63.47/94.58 = 58.16/x
  3. Step 3: Cross multiply
    63.47x = 94.58 × 58.16
  4. Step 4: Simplify right side
    63.47x = 5,500.01
  5. Step 5: Solve for x
    x = 5,500.01/63.47
  6. Step 6: Final answer
    x = 86.66

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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.