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Finding the Fourth Proportional to 71.76, 99.06 and 42.66

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Solution

The fourth proportional to 71.76, 99.06 and 42.66 is: 58.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.76 : 99.06 = 42.66 : x
  2. Step 2: Convert to fraction form
    71.76/99.06 = 42.66/x
  3. Step 3: Cross multiply
    71.76x = 99.06 × 42.66
  4. Step 4: Simplify right side
    71.76x = 4,225.90
  5. Step 5: Solve for x
    x = 4,225.90/71.76
  6. Step 6: Final answer
    x = 58.89

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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.