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Finding the Fourth Proportional to 156.69, 234.96 and 88.16

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Solution

The fourth proportional to 156.69, 234.96 and 88.16 is: 132.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.69 : 234.96 = 88.16 : x
  2. Step 2: Convert to fraction form
    156.69/234.96 = 88.16/x
  3. Step 3: Cross multiply
    156.69x = 234.96 × 88.16
  4. Step 4: Simplify right side
    156.69x = 20,712.57
  5. Step 5: Solve for x
    x = 20,712.57/156.69
  6. Step 6: Final answer
    x = 132.19

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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.