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Finding the Fourth Proportional to 130.57, 179.64 and 113.03

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Solution

The fourth proportional to 130.57, 179.64 and 113.03 is: 155.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.57 : 179.64 = 113.03 : x
  2. Step 2: Convert to fraction form
    130.57/179.64 = 113.03/x
  3. Step 3: Cross multiply
    130.57x = 179.64 × 113.03
  4. Step 4: Simplify right side
    130.57x = 20,304.71
  5. Step 5: Solve for x
    x = 20,304.71/130.57
  6. Step 6: Final answer
    x = 155.51

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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.