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Finding the Fourth Proportional to 96.77, 145.06 and 35.88

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Solution

The fourth proportional to 96.77, 145.06 and 35.88 is: 53.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.77 : 145.06 = 35.88 : x
  2. Step 2: Convert to fraction form
    96.77/145.06 = 35.88/x
  3. Step 3: Cross multiply
    96.77x = 145.06 × 35.88
  4. Step 4: Simplify right side
    96.77x = 5,204.12
  5. Step 5: Solve for x
    x = 5,204.12/96.77
  6. Step 6: Final answer
    x = 53.78

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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.