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Finding the Fourth Proportional to 42.59, 63.53 and 42.32

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Solution

The fourth proportional to 42.59, 63.53 and 42.32 is: 63.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.59 : 63.53 = 42.32 : x
  2. Step 2: Convert to fraction form
    42.59/63.53 = 42.32/x
  3. Step 3: Cross multiply
    42.59x = 63.53 × 42.32
  4. Step 4: Simplify right side
    42.59x = 2,688.93
  5. Step 5: Solve for x
    x = 2,688.93/42.59
  6. Step 6: Final answer
    x = 63.13

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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.