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Finding the Fourth Proportional to 48.17, 66.49 and 29.78

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Solution

The fourth proportional to 48.17, 66.49 and 29.78 is: 41.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.17 : 66.49 = 29.78 : x
  2. Step 2: Convert to fraction form
    48.17/66.49 = 29.78/x
  3. Step 3: Cross multiply
    48.17x = 66.49 × 29.78
  4. Step 4: Simplify right side
    48.17x = 1,980.46
  5. Step 5: Solve for x
    x = 1,980.46/48.17
  6. Step 6: Final answer
    x = 41.11

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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.