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Finding the Fourth Proportional to 47.48, 70.80 and 40.17

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Solution

The fourth proportional to 47.48, 70.80 and 40.17 is: 59.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.48 : 70.80 = 40.17 : x
  2. Step 2: Convert to fraction form
    47.48/70.80 = 40.17/x
  3. Step 3: Cross multiply
    47.48x = 70.80 × 40.17
  4. Step 4: Simplify right side
    47.48x = 2,844.04
  5. Step 5: Solve for x
    x = 2,844.04/47.48
  6. Step 6: Final answer
    x = 59.91

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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.