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Finding the Fourth Proportional to 110.98, 152.52 and 90.22

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Solution

The fourth proportional to 110.98, 152.52 and 90.22 is: 123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.98 : 152.52 = 90.22 : x
  2. Step 2: Convert to fraction form
    110.98/152.52 = 90.22/x
  3. Step 3: Cross multiply
    110.98x = 152.52 × 90.22
  4. Step 4: Simplify right side
    110.98x = 13,760.35
  5. Step 5: Solve for x
    x = 13,760.35/110.98
  6. Step 6: Final answer
    x = 123.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.