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Finding the Fourth Proportional to 99.10, 148.75 and 72.10

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Solution

The fourth proportional to 99.10, 148.75 and 72.10 is: 108.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.10 : 148.75 = 72.10 : x
  2. Step 2: Convert to fraction form
    99.10/148.75 = 72.10/x
  3. Step 3: Cross multiply
    99.10x = 148.75 × 72.10
  4. Step 4: Simplify right side
    99.10x = 10,723.77
  5. Step 5: Solve for x
    x = 10,723.77/99.10
  6. Step 6: Final answer
    x = 108.22

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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.