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Finding the Fourth Proportional to 96.56, 143.82 and 96.10

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Solution

The fourth proportional to 96.56, 143.82 and 96.10 is: 143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.56 : 143.82 = 96.10 : x
  2. Step 2: Convert to fraction form
    96.56/143.82 = 96.10/x
  3. Step 3: Cross multiply
    96.56x = 143.82 × 96.10
  4. Step 4: Simplify right side
    96.56x = 13,821.10
  5. Step 5: Solve for x
    x = 13,821.10/96.56
  6. Step 6: Final answer
    x = 143.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.