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Finding the Fourth Proportional to 130.08, 179.34 and 97.14

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Solution

The fourth proportional to 130.08, 179.34 and 97.14 is: 133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.08 : 179.34 = 97.14 : x
  2. Step 2: Convert to fraction form
    130.08/179.34 = 97.14/x
  3. Step 3: Cross multiply
    130.08x = 179.34 × 97.14
  4. Step 4: Simplify right side
    130.08x = 17,421.09
  5. Step 5: Solve for x
    x = 17,421.09/130.08
  6. Step 6: Final answer
    x = 133.93

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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.