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Finding the Fourth Proportional to 107.16, 159.97 and 99.66

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Solution

The fourth proportional to 107.16, 159.97 and 99.66 is: 148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.16 : 159.97 = 99.66 : x
  2. Step 2: Convert to fraction form
    107.16/159.97 = 99.66/x
  3. Step 3: Cross multiply
    107.16x = 159.97 × 99.66
  4. Step 4: Simplify right side
    107.16x = 15,942.11
  5. Step 5: Solve for x
    x = 15,942.11/107.16
  6. Step 6: Final answer
    x = 148.77

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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.