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Finding the Fourth Proportional to 88.58, 132.80 and 75.82

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Solution

The fourth proportional to 88.58, 132.80 and 75.82 is: 113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.58 : 132.80 = 75.82 : x
  2. Step 2: Convert to fraction form
    88.58/132.80 = 75.82/x
  3. Step 3: Cross multiply
    88.58x = 132.80 × 75.82
  4. Step 4: Simplify right side
    88.58x = 10,068.90
  5. Step 5: Solve for x
    x = 10,068.90/88.58
  6. Step 6: Final answer
    x = 113.67

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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.