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Finding the Fourth Proportional to 155.48, 233.18 and 74.24

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Solution

The fourth proportional to 155.48, 233.18 and 74.24 is: 111.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.48 : 233.18 = 74.24 : x
  2. Step 2: Convert to fraction form
    155.48/233.18 = 74.24/x
  3. Step 3: Cross multiply
    155.48x = 233.18 × 74.24
  4. Step 4: Simplify right side
    155.48x = 17,311.28
  5. Step 5: Solve for x
    x = 17,311.28/155.48
  6. Step 6: Final answer
    x = 111.34

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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.