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Finding the Fourth Proportional to 130.54, 179.93 and 125.14

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Solution

The fourth proportional to 130.54, 179.93 and 125.14 is: 172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.54 : 179.93 = 125.14 : x
  2. Step 2: Convert to fraction form
    130.54/179.93 = 125.14/x
  3. Step 3: Cross multiply
    130.54x = 179.93 × 125.14
  4. Step 4: Simplify right side
    130.54x = 22,516.44
  5. Step 5: Solve for x
    x = 22,516.44/130.54
  6. Step 6: Final answer
    x = 172.49

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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.