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Finding the Fourth Proportional to 101.43, 152.14 and 60.83

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Solution

The fourth proportional to 101.43, 152.14 and 60.83 is: 91.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.43 : 152.14 = 60.83 : x
  2. Step 2: Convert to fraction form
    101.43/152.14 = 60.83/x
  3. Step 3: Cross multiply
    101.43x = 152.14 × 60.83
  4. Step 4: Simplify right side
    101.43x = 9,254.07
  5. Step 5: Solve for x
    x = 9,254.07/101.43
  6. Step 6: Final answer
    x = 91.23

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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.