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Finding the Fourth Proportional to 74.42, 110.79 and 71.10

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Solution

The fourth proportional to 74.42, 110.79 and 71.10 is: 105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.42 : 110.79 = 71.10 : x
  2. Step 2: Convert to fraction form
    74.42/110.79 = 71.10/x
  3. Step 3: Cross multiply
    74.42x = 110.79 × 71.10
  4. Step 4: Simplify right side
    74.42x = 7,877.17
  5. Step 5: Solve for x
    x = 7,877.17/74.42
  6. Step 6: Final answer
    x = 105.85

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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.