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Finding the Fourth Proportional to 42.48, 64.08 and 42.39

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Solution

The fourth proportional to 42.48, 64.08 and 42.39 is: 63.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.48 : 64.08 = 42.39 : x
  2. Step 2: Convert to fraction form
    42.48/64.08 = 42.39/x
  3. Step 3: Cross multiply
    42.48x = 64.08 × 42.39
  4. Step 4: Simplify right side
    42.48x = 2,716.35
  5. Step 5: Solve for x
    x = 2,716.35/42.48
  6. Step 6: Final answer
    x = 63.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.