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Finding the Fourth Proportional to 130.06, 177.81 and 125.02

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Solution

The fourth proportional to 130.06, 177.81 and 125.02 is: 170.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.06 : 177.81 = 125.02 : x
  2. Step 2: Convert to fraction form
    130.06/177.81 = 125.02/x
  3. Step 3: Cross multiply
    130.06x = 177.81 × 125.02
  4. Step 4: Simplify right side
    130.06x = 22,229.81
  5. Step 5: Solve for x
    x = 22,229.81/130.06
  6. Step 6: Final answer
    x = 170.92

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.