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Finding the Fourth Proportional to 113.25, 169.70 and 101.78

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Solution

The fourth proportional to 113.25, 169.70 and 101.78 is: 152.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.25 : 169.70 = 101.78 : x
  2. Step 2: Convert to fraction form
    113.25/169.70 = 101.78/x
  3. Step 3: Cross multiply
    113.25x = 169.70 × 101.78
  4. Step 4: Simplify right side
    113.25x = 17,271.22
  5. Step 5: Solve for x
    x = 17,271.22/113.25
  6. Step 6: Final answer
    x = 152.51

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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.