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Finding the Fourth Proportional to 130.08, 194.90 and 91.49

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Solution

The fourth proportional to 130.08, 194.90 and 91.49 is: 137.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.08 : 194.90 = 91.49 : x
  2. Step 2: Convert to fraction form
    130.08/194.90 = 91.49/x
  3. Step 3: Cross multiply
    130.08x = 194.90 × 91.49
  4. Step 4: Simplify right side
    130.08x = 17,831.89
  5. Step 5: Solve for x
    x = 17,831.89/130.08
  6. Step 6: Final answer
    x = 137.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.