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Finding the Fourth Proportional to 103.42, 155.65 and 77.88

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Solution

The fourth proportional to 103.42, 155.65 and 77.88 is: 117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.42 : 155.65 = 77.88 : x
  2. Step 2: Convert to fraction form
    103.42/155.65 = 77.88/x
  3. Step 3: Cross multiply
    103.42x = 155.65 × 77.88
  4. Step 4: Simplify right side
    103.42x = 12,122.02
  5. Step 5: Solve for x
    x = 12,122.02/103.42
  6. Step 6: Final answer
    x = 117.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.