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Finding the Fourth Proportional to 107.71, 148.79 and 84.45

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Solution

The fourth proportional to 107.71, 148.79 and 84.45 is: 116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.71 : 148.79 = 84.45 : x
  2. Step 2: Convert to fraction form
    107.71/148.79 = 84.45/x
  3. Step 3: Cross multiply
    107.71x = 148.79 × 84.45
  4. Step 4: Simplify right side
    107.71x = 12,565.32
  5. Step 5: Solve for x
    x = 12,565.32/107.71
  6. Step 6: Final answer
    x = 116.66

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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.