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Finding the Fourth Proportional to 48.71, 72.64 and 41.02

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Solution

The fourth proportional to 48.71, 72.64 and 41.02 is: 61.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.71 : 72.64 = 41.02 : x
  2. Step 2: Convert to fraction form
    48.71/72.64 = 41.02/x
  3. Step 3: Cross multiply
    48.71x = 72.64 × 41.02
  4. Step 4: Simplify right side
    48.71x = 2,979.69
  5. Step 5: Solve for x
    x = 2,979.69/48.71
  6. Step 6: Final answer
    x = 61.17

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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.