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Finding the Fourth Proportional to 130.63, 180.62 and 124.89

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Solution

The fourth proportional to 130.63, 180.62 and 124.89 is: 172.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.63 : 180.62 = 124.89 : x
  2. Step 2: Convert to fraction form
    130.63/180.62 = 124.89/x
  3. Step 3: Cross multiply
    130.63x = 180.62 × 124.89
  4. Step 4: Simplify right side
    130.63x = 22,557.63
  5. Step 5: Solve for x
    x = 22,557.63/130.63
  6. Step 6: Final answer
    x = 172.68

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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.