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Finding the Fourth Proportional to 157.52, 235.90 and 111.65

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Solution

The fourth proportional to 157.52, 235.90 and 111.65 is: 167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.52 : 235.90 = 111.65 : x
  2. Step 2: Convert to fraction form
    157.52/235.90 = 111.65/x
  3. Step 3: Cross multiply
    157.52x = 235.90 × 111.65
  4. Step 4: Simplify right side
    157.52x = 26,337.89
  5. Step 5: Solve for x
    x = 26,337.89/157.52
  6. Step 6: Final answer
    x = 167.21

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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.