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Finding the Fourth Proportional to 155.53, 233.15 and 97.58

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Solution

The fourth proportional to 155.53, 233.15 and 97.58 is: 146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.53 : 233.15 = 97.58 : x
  2. Step 2: Convert to fraction form
    155.53/233.15 = 97.58/x
  3. Step 3: Cross multiply
    155.53x = 233.15 × 97.58
  4. Step 4: Simplify right side
    155.53x = 22,750.85
  5. Step 5: Solve for x
    x = 22,750.85/155.53
  6. Step 6: Final answer
    x = 146.28

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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.