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Finding the Fourth Proportional to 112.79, 155.72 and 77.88

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Solution

The fourth proportional to 112.79, 155.72 and 77.88 is: 107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.79 : 155.72 = 77.88 : x
  2. Step 2: Convert to fraction form
    112.79/155.72 = 77.88/x
  3. Step 3: Cross multiply
    112.79x = 155.72 × 77.88
  4. Step 4: Simplify right side
    112.79x = 12,127.08
  5. Step 5: Solve for x
    x = 12,127.08/112.79
  6. Step 6: Final answer
    x = 107.52

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Why These Related Problems?

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