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Finding the Fourth Proportional to 113.10, 155.94 and 85.38

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Solution

The fourth proportional to 113.10, 155.94 and 85.38 is: 117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.10 : 155.94 = 85.38 : x
  2. Step 2: Convert to fraction form
    113.10/155.94 = 85.38/x
  3. Step 3: Cross multiply
    113.10x = 155.94 × 85.38
  4. Step 4: Simplify right side
    113.10x = 13,314.16
  5. Step 5: Solve for x
    x = 13,314.16/113.10
  6. Step 6: Final answer
    x = 117.72

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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.