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Finding the Fourth Proportional to 101.15, 151.15 and 83.06

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Solution

The fourth proportional to 101.15, 151.15 and 83.06 is: 124.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.15 : 151.15 = 83.06 : x
  2. Step 2: Convert to fraction form
    101.15/151.15 = 83.06/x
  3. Step 3: Cross multiply
    101.15x = 151.15 × 83.06
  4. Step 4: Simplify right side
    101.15x = 12,554.10
  5. Step 5: Solve for x
    x = 12,554.10/101.15
  6. Step 6: Final answer
    x = 124.11

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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.