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Finding the Fourth Proportional to 96.62, 145.02 and 75.06

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Solution

The fourth proportional to 96.62, 145.02 and 75.06 is: 112.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.62 : 145.02 = 75.06 : x
  2. Step 2: Convert to fraction form
    96.62/145.02 = 75.06/x
  3. Step 3: Cross multiply
    96.62x = 145.02 × 75.06
  4. Step 4: Simplify right side
    96.62x = 10,885.20
  5. Step 5: Solve for x
    x = 10,885.20/96.62
  6. Step 6: Final answer
    x = 112.67

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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.