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Finding the Fourth Proportional to 113.14, 156.05 and 71.65

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Solution

The fourth proportional to 113.14, 156.05 and 71.65 is: 98.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.14 : 156.05 = 71.65 : x
  2. Step 2: Convert to fraction form
    113.14/156.05 = 71.65/x
  3. Step 3: Cross multiply
    113.14x = 156.05 × 71.65
  4. Step 4: Simplify right side
    113.14x = 11,180.23
  5. Step 5: Solve for x
    x = 11,180.23/113.14
  6. Step 6: Final answer
    x = 98.82

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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.