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Finding the Fourth Proportional to 157.52, 217.36 and 105.76

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Solution

The fourth proportional to 157.52, 217.36 and 105.76 is: 145.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.52 : 217.36 = 105.76 : x
  2. Step 2: Convert to fraction form
    157.52/217.36 = 105.76/x
  3. Step 3: Cross multiply
    157.52x = 217.36 × 105.76
  4. Step 4: Simplify right side
    157.52x = 22,987.99
  5. Step 5: Solve for x
    x = 22,987.99/157.52
  6. Step 6: Final answer
    x = 145.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.