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Finding the Fourth Proportional to 110.91, 165.48 and 99.36

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Solution

The fourth proportional to 110.91, 165.48 and 99.36 is: 148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.91 : 165.48 = 99.36 : x
  2. Step 2: Convert to fraction form
    110.91/165.48 = 99.36/x
  3. Step 3: Cross multiply
    110.91x = 165.48 × 99.36
  4. Step 4: Simplify right side
    110.91x = 16,442.84
  5. Step 5: Solve for x
    x = 16,442.84/110.91
  6. Step 6: Final answer
    x = 148.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.