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Finding the Fourth Proportional to 107.82, 148.70 and 103.14

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Solution

The fourth proportional to 107.82, 148.70 and 103.14 is: 142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.82 : 148.70 = 103.14 : x
  2. Step 2: Convert to fraction form
    107.82/148.70 = 103.14/x
  3. Step 3: Cross multiply
    107.82x = 148.70 × 103.14
  4. Step 4: Simplify right side
    107.82x = 15,337.18
  5. Step 5: Solve for x
    x = 15,337.18/107.82
  6. Step 6: Final answer
    x = 142.25

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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.