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Finding the Fourth Proportional to 132.40, 182.71 and 77.14

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Solution

The fourth proportional to 132.40, 182.71 and 77.14 is: 106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.40 : 182.71 = 77.14 : x
  2. Step 2: Convert to fraction form
    132.40/182.71 = 77.14/x
  3. Step 3: Cross multiply
    132.40x = 182.71 × 77.14
  4. Step 4: Simplify right side
    132.40x = 14,094.25
  5. Step 5: Solve for x
    x = 14,094.25/132.40
  6. Step 6: Final answer
    x = 106.45

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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.