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Finding the Fourth Proportional to 130.97, 180.69 and 103.25

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Solution

The fourth proportional to 130.97, 180.69 and 103.25 is: 142.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.97 : 180.69 = 103.25 : x
  2. Step 2: Convert to fraction form
    130.97/180.69 = 103.25/x
  3. Step 3: Cross multiply
    130.97x = 180.69 × 103.25
  4. Step 4: Simplify right side
    130.97x = 18,655.34
  5. Step 5: Solve for x
    x = 18,655.34/130.97
  6. Step 6: Final answer
    x = 142.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.