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Finding the Fourth Proportional to 113.04, 155.79 and 77.58

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Solution

The fourth proportional to 113.04, 155.79 and 77.58 is: 106.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.04 : 155.79 = 77.58 : x
  2. Step 2: Convert to fraction form
    113.04/155.79 = 77.58/x
  3. Step 3: Cross multiply
    113.04x = 155.79 × 77.58
  4. Step 4: Simplify right side
    113.04x = 12,086.19
  5. Step 5: Solve for x
    x = 12,086.19/113.04
  6. Step 6: Final answer
    x = 106.92

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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.