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Finding the Fourth Proportional to 113.85, 170.40 and 102.24

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Solution

The fourth proportional to 113.85, 170.40 and 102.24 is: 153.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.85 : 170.40 = 102.24 : x
  2. Step 2: Convert to fraction form
    113.85/170.40 = 102.24/x
  3. Step 3: Cross multiply
    113.85x = 170.40 × 102.24
  4. Step 4: Simplify right side
    113.85x = 17,421.70
  5. Step 5: Solve for x
    x = 17,421.70/113.85
  6. Step 6: Final answer
    x = 153.02

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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.