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Finding the Fourth Proportional to 48.29, 66.56 and 42.83

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Solution

The fourth proportional to 48.29, 66.56 and 42.83 is: 59.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.29 : 66.56 = 42.83 : x
  2. Step 2: Convert to fraction form
    48.29/66.56 = 42.83/x
  3. Step 3: Cross multiply
    48.29x = 66.56 × 42.83
  4. Step 4: Simplify right side
    48.29x = 2,850.54
  5. Step 5: Solve for x
    x = 2,850.54/48.29
  6. Step 6: Final answer
    x = 59.04

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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.