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Finding the Fourth Proportional to 127.53, 176 and 77.76

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Solution

The fourth proportional to 127.53, 176 and 77.76 is: 107.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.53 : 176 = 77.76 : x
  2. Step 2: Convert to fraction form
    127.53/176 = 77.76/x
  3. Step 3: Cross multiply
    127.53x = 176 × 77.76
  4. Step 4: Simplify right side
    127.53x = 13,685.76
  5. Step 5: Solve for x
    x = 13,685.76/127.53
  6. Step 6: Final answer
    x = 107.31

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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.