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Finding the Fourth Proportional to 99.22, 148.83 and 27.08

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Solution

The fourth proportional to 99.22, 148.83 and 27.08 is: 40.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.22 : 148.83 = 27.08 : x
  2. Step 2: Convert to fraction form
    99.22/148.83 = 27.08/x
  3. Step 3: Cross multiply
    99.22x = 148.83 × 27.08
  4. Step 4: Simplify right side
    99.22x = 4,030.32
  5. Step 5: Solve for x
    x = 4,030.32/99.22
  6. Step 6: Final answer
    x = 40.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.