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Finding the Fourth Proportional to 132.28, 182.53 and 77.00

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Solution

The fourth proportional to 132.28, 182.53 and 77.00 is: 106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.28 : 182.53 = 77.00 : x
  2. Step 2: Convert to fraction form
    132.28/182.53 = 77.00/x
  3. Step 3: Cross multiply
    132.28x = 182.53 × 77.00
  4. Step 4: Simplify right side
    132.28x = 14,055.07
  5. Step 5: Solve for x
    x = 14,055.07/132.28
  6. Step 6: Final answer
    x = 106.25

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Why These Related Problems?

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