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Finding the Fourth Proportional to 103.55, 155.12 and 77.76

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Solution

The fourth proportional to 103.55, 155.12 and 77.76 is: 116.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.55 : 155.12 = 77.76 : x
  2. Step 2: Convert to fraction form
    103.55/155.12 = 77.76/x
  3. Step 3: Cross multiply
    103.55x = 155.12 × 77.76
  4. Step 4: Simplify right side
    103.55x = 12,061.74
  5. Step 5: Solve for x
    x = 12,061.74/103.55
  6. Step 6: Final answer
    x = 116.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.