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Finding the Fourth Proportional to 70.47, 105.72 and 29.87

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Solution

The fourth proportional to 70.47, 105.72 and 29.87 is: 44.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.47 : 105.72 = 29.87 : x
  2. Step 2: Convert to fraction form
    70.47/105.72 = 29.87/x
  3. Step 3: Cross multiply
    70.47x = 105.72 × 29.87
  4. Step 4: Simplify right side
    70.47x = 3,157.61
  5. Step 5: Solve for x
    x = 3,157.61/70.47
  6. Step 6: Final answer
    x = 44.81

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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.