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Finding the Fourth Proportional to 127.61, 175.66 and 110.19

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Solution

The fourth proportional to 127.61, 175.66 and 110.19 is: 151.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.61 : 175.66 = 110.19 : x
  2. Step 2: Convert to fraction form
    127.61/175.66 = 110.19/x
  3. Step 3: Cross multiply
    127.61x = 175.66 × 110.19
  4. Step 4: Simplify right side
    127.61x = 19,355.98
  5. Step 5: Solve for x
    x = 19,355.98/127.61
  6. Step 6: Final answer
    x = 151.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.