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Finding the Fourth Proportional to 102.35, 152.86 and 88.67

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Solution

The fourth proportional to 102.35, 152.86 and 88.67 is: 132.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.35 : 152.86 = 88.67 : x
  2. Step 2: Convert to fraction form
    102.35/152.86 = 88.67/x
  3. Step 3: Cross multiply
    102.35x = 152.86 × 88.67
  4. Step 4: Simplify right side
    102.35x = 13,553.65
  5. Step 5: Solve for x
    x = 13,553.65/102.35
  6. Step 6: Final answer
    x = 132.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.