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Finding the Fourth Proportional to 156.42, 215.87 and 112.78

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Solution

The fourth proportional to 156.42, 215.87 and 112.78 is: 155.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.42 : 215.87 = 112.78 : x
  2. Step 2: Convert to fraction form
    156.42/215.87 = 112.78/x
  3. Step 3: Cross multiply
    156.42x = 215.87 × 112.78
  4. Step 4: Simplify right side
    156.42x = 24,345.28
  5. Step 5: Solve for x
    x = 24,345.28/156.42
  6. Step 6: Final answer
    x = 155.65

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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.