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Finding the Fourth Proportional to 103.45, 155.16 and 77.80

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Solution

The fourth proportional to 103.45, 155.16 and 77.80 is: 116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.45 : 155.16 = 77.80 : x
  2. Step 2: Convert to fraction form
    103.45/155.16 = 77.80/x
  3. Step 3: Cross multiply
    103.45x = 155.16 × 77.80
  4. Step 4: Simplify right side
    103.45x = 12,071.45
  5. Step 5: Solve for x
    x = 12,071.45/103.45
  6. Step 6: Final answer
    x = 116.69

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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.