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Finding the Fourth Proportional to 127.66, 176.10 and 99.99

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Solution

The fourth proportional to 127.66, 176.10 and 99.99 is: 137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.66 : 176.10 = 99.99 : x
  2. Step 2: Convert to fraction form
    127.66/176.10 = 99.99/x
  3. Step 3: Cross multiply
    127.66x = 176.10 × 99.99
  4. Step 4: Simplify right side
    127.66x = 17,608.24
  5. Step 5: Solve for x
    x = 17,608.24/127.66
  6. Step 6: Final answer
    x = 137.93

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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.