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Finding the Fourth Proportional to 106.62, 160.55 and 96.30

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Solution

The fourth proportional to 106.62, 160.55 and 96.30 is: 145.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.62 : 160.55 = 96.30 : x
  2. Step 2: Convert to fraction form
    106.62/160.55 = 96.30/x
  3. Step 3: Cross multiply
    106.62x = 160.55 × 96.30
  4. Step 4: Simplify right side
    106.62x = 15,460.48
  5. Step 5: Solve for x
    x = 15,460.48/106.62
  6. Step 6: Final answer
    x = 145.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.