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Finding the Fourth Proportional to 127.74, 175.95 and 98.58

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Solution

The fourth proportional to 127.74, 175.95 and 98.58 is: 135.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.74 : 175.95 = 98.58 : x
  2. Step 2: Convert to fraction form
    127.74/175.95 = 98.58/x
  3. Step 3: Cross multiply
    127.74x = 175.95 × 98.58
  4. Step 4: Simplify right side
    127.74x = 17,345.15
  5. Step 5: Solve for x
    x = 17,345.15/127.74
  6. Step 6: Final answer
    x = 135.78

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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.