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Finding the Fourth Proportional to 130.40, 180 and 101.44

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Solution

The fourth proportional to 130.40, 180 and 101.44 is: 140.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.40 : 180 = 101.44 : x
  2. Step 2: Convert to fraction form
    130.40/180 = 101.44/x
  3. Step 3: Cross multiply
    130.40x = 180 × 101.44
  4. Step 4: Simplify right side
    130.40x = 18,259.20
  5. Step 5: Solve for x
    x = 18,259.20/130.40
  6. Step 6: Final answer
    x = 140.02

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1.5x scale

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.