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Finding the Fourth Proportional to 106.97, 160.53 and 61.34

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Solution

The fourth proportional to 106.97, 160.53 and 61.34 is: 92.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.97 : 160.53 = 61.34 : x
  2. Step 2: Convert to fraction form
    106.97/160.53 = 61.34/x
  3. Step 3: Cross multiply
    106.97x = 160.53 × 61.34
  4. Step 4: Simplify right side
    106.97x = 9,846.11
  5. Step 5: Solve for x
    x = 9,846.11/106.97
  6. Step 6: Final answer
    x = 92.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.