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Finding the Fourth Proportional to 127.78, 176.12 and 101.51

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Solution

The fourth proportional to 127.78, 176.12 and 101.51 is: 139.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.78 : 176.12 = 101.51 : x
  2. Step 2: Convert to fraction form
    127.78/176.12 = 101.51/x
  3. Step 3: Cross multiply
    127.78x = 176.12 × 101.51
  4. Step 4: Simplify right side
    127.78x = 17,877.94
  5. Step 5: Solve for x
    x = 17,877.94/127.78
  6. Step 6: Final answer
    x = 139.91

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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.