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Finding the Fourth Proportional to 47.89, 66.08 and 29.23

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Solution

The fourth proportional to 47.89, 66.08 and 29.23 is: 40.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.89 : 66.08 = 29.23 : x
  2. Step 2: Convert to fraction form
    47.89/66.08 = 29.23/x
  3. Step 3: Cross multiply
    47.89x = 66.08 × 29.23
  4. Step 4: Simplify right side
    47.89x = 1,931.61
  5. Step 5: Solve for x
    x = 1,931.61/47.89
  6. Step 6: Final answer
    x = 40.34

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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.