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Finding the Fourth Proportional to 96.83, 145.24 and 42.76

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Solution

The fourth proportional to 96.83, 145.24 and 42.76 is: 64.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.83 : 145.24 = 42.76 : x
  2. Step 2: Convert to fraction form
    96.83/145.24 = 42.76/x
  3. Step 3: Cross multiply
    96.83x = 145.24 × 42.76
  4. Step 4: Simplify right side
    96.83x = 6,210.46
  5. Step 5: Solve for x
    x = 6,210.46/96.83
  6. Step 6: Final answer
    x = 64.14

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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.