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Finding the Fourth Proportional to 88.29, 132.53 and 77.67

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Solution

The fourth proportional to 88.29, 132.53 and 77.67 is: 116.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.29 : 132.53 = 77.67 : x
  2. Step 2: Convert to fraction form
    88.29/132.53 = 77.67/x
  3. Step 3: Cross multiply
    88.29x = 132.53 × 77.67
  4. Step 4: Simplify right side
    88.29x = 10,293.22
  5. Step 5: Solve for x
    x = 10,293.22/88.29
  6. Step 6: Final answer
    x = 116.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.