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Finding the Fourth Proportional to 130.23, 178.04 and 126.45

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Solution

The fourth proportional to 130.23, 178.04 and 126.45 is: 172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.23 : 178.04 = 126.45 : x
  2. Step 2: Convert to fraction form
    130.23/178.04 = 126.45/x
  3. Step 3: Cross multiply
    130.23x = 178.04 × 126.45
  4. Step 4: Simplify right side
    130.23x = 22,513.47
  5. Step 5: Solve for x
    x = 22,513.47/130.23
  6. Step 6: Final answer
    x = 172.87

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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.