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Finding the Fourth Proportional to 156.57, 215.76 and 112.83

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Solution

The fourth proportional to 156.57, 215.76 and 112.83 is: 155.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.57 : 215.76 = 112.83 : x
  2. Step 2: Convert to fraction form
    156.57/215.76 = 112.83/x
  3. Step 3: Cross multiply
    156.57x = 215.76 × 112.83
  4. Step 4: Simplify right side
    156.57x = 24,344.20
  5. Step 5: Solve for x
    x = 24,344.20/156.57
  6. Step 6: Final answer
    x = 155.48

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