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Finding the Fourth Proportional to 46.53, 69.65 and 42.17

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Solution

The fourth proportional to 46.53, 69.65 and 42.17 is: 63.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.53 : 69.65 = 42.17 : x
  2. Step 2: Convert to fraction form
    46.53/69.65 = 42.17/x
  3. Step 3: Cross multiply
    46.53x = 69.65 × 42.17
  4. Step 4: Simplify right side
    46.53x = 2,937.14
  5. Step 5: Solve for x
    x = 2,937.14/46.53
  6. Step 6: Final answer
    x = 63.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.