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Finding the Fourth Proportional to 130.51, 194.57 and 125.38

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Solution

The fourth proportional to 130.51, 194.57 and 125.38 is: 186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.51 : 194.57 = 125.38 : x
  2. Step 2: Convert to fraction form
    130.51/194.57 = 125.38/x
  3. Step 3: Cross multiply
    130.51x = 194.57 × 125.38
  4. Step 4: Simplify right side
    130.51x = 24,395.27
  5. Step 5: Solve for x
    x = 24,395.27/130.51
  6. Step 6: Final answer
    x = 186.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.