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Finding the Fourth Proportional to 106.72, 160.14 and 90.76

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Solution

The fourth proportional to 106.72, 160.14 and 90.76 is: 136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.72 : 160.14 = 90.76 : x
  2. Step 2: Convert to fraction form
    106.72/160.14 = 90.76/x
  3. Step 3: Cross multiply
    106.72x = 160.14 × 90.76
  4. Step 4: Simplify right side
    106.72x = 14,534.31
  5. Step 5: Solve for x
    x = 14,534.31/106.72
  6. Step 6: Final answer
    x = 136.19

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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.