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Finding the Fourth Proportional to 71.33, 106.45 and 66.29

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Solution

The fourth proportional to 71.33, 106.45 and 66.29 is: 98.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.33 : 106.45 = 66.29 : x
  2. Step 2: Convert to fraction form
    71.33/106.45 = 66.29/x
  3. Step 3: Cross multiply
    71.33x = 106.45 × 66.29
  4. Step 4: Simplify right side
    71.33x = 7,056.57
  5. Step 5: Solve for x
    x = 7,056.57/71.33
  6. Step 6: Final answer
    x = 98.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.