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Finding the Fourth Proportional to 63.17, 87.15 and 46.77

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Solution

The fourth proportional to 63.17, 87.15 and 46.77 is: 64.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.17 : 87.15 = 46.77 : x
  2. Step 2: Convert to fraction form
    63.17/87.15 = 46.77/x
  3. Step 3: Cross multiply
    63.17x = 87.15 × 46.77
  4. Step 4: Simplify right side
    63.17x = 4,075.83
  5. Step 5: Solve for x
    x = 4,075.83/63.17
  6. Step 6: Final answer
    x = 64.52

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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.