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Finding the Fourth Proportional to 63.14, 87.06 and 46.76

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Solution

The fourth proportional to 63.14, 87.06 and 46.76 is: 64.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.14 : 87.06 = 46.76 : x
  2. Step 2: Convert to fraction form
    63.14/87.06 = 46.76/x
  3. Step 3: Cross multiply
    63.14x = 87.06 × 46.76
  4. Step 4: Simplify right side
    63.14x = 4,070.93
  5. Step 5: Solve for x
    x = 4,070.93/63.14
  6. Step 6: Final answer
    x = 64.47

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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.