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Finding the Fourth Proportional to 130.32, 194.57 and 117.24

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Solution

The fourth proportional to 130.32, 194.57 and 117.24 is: 175.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.32 : 194.57 = 117.24 : x
  2. Step 2: Convert to fraction form
    130.32/194.57 = 117.24/x
  3. Step 3: Cross multiply
    130.32x = 194.57 × 117.24
  4. Step 4: Simplify right side
    130.32x = 22,810.80
  5. Step 5: Solve for x
    x = 22,810.80/130.32
  6. Step 6: Final answer
    x = 175.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.