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Finding the Fourth Proportional to 127.50, 176.11 and 97.81

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Solution

The fourth proportional to 127.50, 176.11 and 97.81 is: 135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.50 : 176.11 = 97.81 : x
  2. Step 2: Convert to fraction form
    127.50/176.11 = 97.81/x
  3. Step 3: Cross multiply
    127.50x = 176.11 × 97.81
  4. Step 4: Simplify right side
    127.50x = 17,225.32
  5. Step 5: Solve for x
    x = 17,225.32/127.50
  6. Step 6: Final answer
    x = 135.10

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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.