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Finding the Fourth Proportional to 47.54, 71.23 and 29.45

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Solution

The fourth proportional to 47.54, 71.23 and 29.45 is: 44.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.54 : 71.23 = 29.45 : x
  2. Step 2: Convert to fraction form
    47.54/71.23 = 29.45/x
  3. Step 3: Cross multiply
    47.54x = 71.23 × 29.45
  4. Step 4: Simplify right side
    47.54x = 2,097.72
  5. Step 5: Solve for x
    x = 2,097.72/47.54
  6. Step 6: Final answer
    x = 44.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.