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Finding the Fourth Proportional to 73.10, 108.96 and 65.90

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Solution

The fourth proportional to 73.10, 108.96 and 65.90 is: 98.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.10 : 108.96 = 65.90 : x
  2. Step 2: Convert to fraction form
    73.10/108.96 = 65.90/x
  3. Step 3: Cross multiply
    73.10x = 108.96 × 65.90
  4. Step 4: Simplify right side
    73.10x = 7,180.46
  5. Step 5: Solve for x
    x = 7,180.46/73.10
  6. Step 6: Final answer
    x = 98.23

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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.