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Finding the Fourth Proportional to 113.93, 170 and 101.78

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Solution

The fourth proportional to 113.93, 170 and 101.78 is: 151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.93 : 170 = 101.78 : x
  2. Step 2: Convert to fraction form
    113.93/170 = 101.78/x
  3. Step 3: Cross multiply
    113.93x = 170 × 101.78
  4. Step 4: Simplify right side
    113.93x = 17,302.60
  5. Step 5: Solve for x
    x = 17,302.60/113.93
  6. Step 6: Final answer
    x = 151.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.