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Finding the Fourth Proportional to 127.40, 176.04 and 105.53

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Solution

The fourth proportional to 127.40, 176.04 and 105.53 is: 145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.40 : 176.04 = 105.53 : x
  2. Step 2: Convert to fraction form
    127.40/176.04 = 105.53/x
  3. Step 3: Cross multiply
    127.40x = 176.04 × 105.53
  4. Step 4: Simplify right side
    127.40x = 18,576.62
  5. Step 5: Solve for x
    x = 18,576.62/127.40
  6. Step 6: Final answer
    x = 145.82

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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.