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Finding the Fourth Proportional to 88.68, 122.10 and 77.70

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Solution

The fourth proportional to 88.68, 122.10 and 77.70 is: 106.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.68 : 122.10 = 77.70 : x
  2. Step 2: Convert to fraction form
    88.68/122.10 = 77.70/x
  3. Step 3: Cross multiply
    88.68x = 122.10 × 77.70
  4. Step 4: Simplify right side
    88.68x = 9,487.17
  5. Step 5: Solve for x
    x = 9,487.17/88.68
  6. Step 6: Final answer
    x = 106.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.