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Finding the Fourth Proportional to 130.66, 180.12 and 101.20

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Solution

The fourth proportional to 130.66, 180.12 and 101.20 is: 139.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.66 : 180.12 = 101.20 : x
  2. Step 2: Convert to fraction form
    130.66/180.12 = 101.20/x
  3. Step 3: Cross multiply
    130.66x = 180.12 × 101.20
  4. Step 4: Simplify right side
    130.66x = 18,228.14
  5. Step 5: Solve for x
    x = 18,228.14/130.66
  6. Step 6: Final answer
    x = 139.51

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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.