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Finding the Fourth Proportional to 48.61, 72.96 and 42.49

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Solution

The fourth proportional to 48.61, 72.96 and 42.49 is: 63.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.61 : 72.96 = 42.49 : x
  2. Step 2: Convert to fraction form
    48.61/72.96 = 42.49/x
  3. Step 3: Cross multiply
    48.61x = 72.96 × 42.49
  4. Step 4: Simplify right side
    48.61x = 3,100.07
  5. Step 5: Solve for x
    x = 3,100.07/48.61
  6. Step 6: Final answer
    x = 63.77

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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.