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Finding the Fourth Proportional to 156.34, 215.76 and 94.17

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Solution

The fourth proportional to 156.34, 215.76 and 94.17 is: 129.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.34 : 215.76 = 94.17 : x
  2. Step 2: Convert to fraction form
    156.34/215.76 = 94.17/x
  3. Step 3: Cross multiply
    156.34x = 215.76 × 94.17
  4. Step 4: Simplify right side
    156.34x = 20,318.12
  5. Step 5: Solve for x
    x = 20,318.12/156.34
  6. Step 6: Final answer
    x = 129.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.