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Finding the Fourth Proportional to 107.19, 147.89 and 65.71

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Solution

The fourth proportional to 107.19, 147.89 and 65.71 is: 90.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.19 : 147.89 = 65.71 : x
  2. Step 2: Convert to fraction form
    107.19/147.89 = 65.71/x
  3. Step 3: Cross multiply
    107.19x = 147.89 × 65.71
  4. Step 4: Simplify right side
    107.19x = 9,717.71
  5. Step 5: Solve for x
    x = 9,717.71/107.19
  6. Step 6: Final answer
    x = 90.66

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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.