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Finding the Fourth Proportional to 101.16, 138.69 and 99.34

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Solution

The fourth proportional to 101.16, 138.69 and 99.34 is: 136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.16 : 138.69 = 99.34 : x
  2. Step 2: Convert to fraction form
    101.16/138.69 = 99.34/x
  3. Step 3: Cross multiply
    101.16x = 138.69 × 99.34
  4. Step 4: Simplify right side
    101.16x = 13,776.27
  5. Step 5: Solve for x
    x = 13,776.27/101.16
  6. Step 6: Final answer
    x = 136.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.