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Finding the Fourth Proportional to 48, 66.08 and 38.24

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Solution

The fourth proportional to 48, 66.08 and 38.24 is: 52.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48 : 66.08 = 38.24 : x
  2. Step 2: Convert to fraction form
    48/66.08 = 38.24/x
  3. Step 3: Cross multiply
    48x = 66.08 × 38.24
  4. Step 4: Simplify right side
    48x = 2,526.90
  5. Step 5: Solve for x
    x = 2,526.90/48
  6. Step 6: Final answer
    x = 52.64

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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.