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Finding the Fourth Proportional to 101.65, 139.04 and 101.24

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Solution

The fourth proportional to 101.65, 139.04 and 101.24 is: 138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.65 : 139.04 = 101.24 : x
  2. Step 2: Convert to fraction form
    101.65/139.04 = 101.24/x
  3. Step 3: Cross multiply
    101.65x = 139.04 × 101.24
  4. Step 4: Simplify right side
    101.65x = 14,076.41
  5. Step 5: Solve for x
    x = 14,076.41/101.65
  6. Step 6: Final answer
    x = 138.48

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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.