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Finding the Fourth Proportional to 110.80, 152.82 and 73.95

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Solution

The fourth proportional to 110.80, 152.82 and 73.95 is: 101.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.80 : 152.82 = 73.95 : x
  2. Step 2: Convert to fraction form
    110.80/152.82 = 73.95/x
  3. Step 3: Cross multiply
    110.80x = 152.82 × 73.95
  4. Step 4: Simplify right side
    110.80x = 11,300.47
  5. Step 5: Solve for x
    x = 11,300.47/110.80
  6. Step 6: Final answer
    x = 101.99

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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.