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Finding the Fourth Proportional to 130.16, 178.48 and 125.57

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Solution

The fourth proportional to 130.16, 178.48 and 125.57 is: 172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.16 : 178.48 = 125.57 : x
  2. Step 2: Convert to fraction form
    130.16/178.48 = 125.57/x
  3. Step 3: Cross multiply
    130.16x = 178.48 × 125.57
  4. Step 4: Simplify right side
    130.16x = 22,411.73
  5. Step 5: Solve for x
    x = 22,411.73/130.16
  6. Step 6: Final answer
    x = 172.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.