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Finding the Fourth Proportional to 180.10, 248.52 and 101.39

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Solution

The fourth proportional to 180.10, 248.52 and 101.39 is: 139.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.10 : 248.52 = 101.39 : x
  2. Step 2: Convert to fraction form
    180.10/248.52 = 101.39/x
  3. Step 3: Cross multiply
    180.10x = 248.52 × 101.39
  4. Step 4: Simplify right side
    180.10x = 25,197.13
  5. Step 5: Solve for x
    x = 25,197.13/180.10
  6. Step 6: Final answer
    x = 139.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.