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Finding the Fourth Proportional to 107.98, 148.89 and 71.08

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Solution

The fourth proportional to 107.98, 148.89 and 71.08 is: 98.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.98 : 148.89 = 71.08 : x
  2. Step 2: Convert to fraction form
    107.98/148.89 = 71.08/x
  3. Step 3: Cross multiply
    107.98x = 148.89 × 71.08
  4. Step 4: Simplify right side
    107.98x = 10,583.10
  5. Step 5: Solve for x
    x = 10,583.10/107.98
  6. Step 6: Final answer
    x = 98.01

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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.