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Finding the Fourth Proportional to 110.71, 152.75 and 77.98

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Solution

The fourth proportional to 110.71, 152.75 and 77.98 is: 107.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.71 : 152.75 = 77.98 : x
  2. Step 2: Convert to fraction form
    110.71/152.75 = 77.98/x
  3. Step 3: Cross multiply
    110.71x = 152.75 × 77.98
  4. Step 4: Simplify right side
    110.71x = 11,911.06
  5. Step 5: Solve for x
    x = 11,911.06/110.71
  6. Step 6: Final answer
    x = 107.59

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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.