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Finding the Fourth Proportional to 132.79, 182.96 and 97.76

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Solution

The fourth proportional to 132.79, 182.96 and 97.76 is: 134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.79 : 182.96 = 97.76 : x
  2. Step 2: Convert to fraction form
    132.79/182.96 = 97.76/x
  3. Step 3: Cross multiply
    132.79x = 182.96 × 97.76
  4. Step 4: Simplify right side
    132.79x = 17,886.17
  5. Step 5: Solve for x
    x = 17,886.17/132.79
  6. Step 6: Final answer
    x = 134.70

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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.