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Finding the Fourth Proportional to 155.72, 232.60 and 117

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Solution

The fourth proportional to 155.72, 232.60 and 117 is: 174.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.72 : 232.60 = 117 : x
  2. Step 2: Convert to fraction form
    155.72/232.60 = 117/x
  3. Step 3: Cross multiply
    155.72x = 232.60 × 117
  4. Step 4: Simplify right side
    155.72x = 27,214.20
  5. Step 5: Solve for x
    x = 27,214.20/155.72
  6. Step 6: Final answer
    x = 174.76

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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.