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Finding the Fourth Proportional to 156.87, 216.88 and 127.71

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Solution

The fourth proportional to 156.87, 216.88 and 127.71 is: 176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.87 : 216.88 = 127.71 : x
  2. Step 2: Convert to fraction form
    156.87/216.88 = 127.71/x
  3. Step 3: Cross multiply
    156.87x = 216.88 × 127.71
  4. Step 4: Simplify right side
    156.87x = 27,697.43
  5. Step 5: Solve for x
    x = 27,697.43/156.87
  6. Step 6: Final answer
    x = 176.56

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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.