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Finding the Fourth Proportional to 48.10, 71.82 and 42.04

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Solution

The fourth proportional to 48.10, 71.82 and 42.04 is: 62.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.10 : 71.82 = 42.04 : x
  2. Step 2: Convert to fraction form
    48.10/71.82 = 42.04/x
  3. Step 3: Cross multiply
    48.10x = 71.82 × 42.04
  4. Step 4: Simplify right side
    48.10x = 3,019.31
  5. Step 5: Solve for x
    x = 3,019.31/48.10
  6. Step 6: Final answer
    x = 62.77

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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.