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Finding the Fourth Proportional to 104.81, 156.47 and 96.17

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Solution

The fourth proportional to 104.81, 156.47 and 96.17 is: 143.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.81 : 156.47 = 96.17 : x
  2. Step 2: Convert to fraction form
    104.81/156.47 = 96.17/x
  3. Step 3: Cross multiply
    104.81x = 156.47 × 96.17
  4. Step 4: Simplify right side
    104.81x = 15,046.46
  5. Step 5: Solve for x
    x = 15,046.46/104.81
  6. Step 6: Final answer
    x = 143.57

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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.