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Finding the Fourth Proportional to 99.01, 148.66 and 53.45

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Solution

The fourth proportional to 99.01, 148.66 and 53.45 is: 80.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.01 : 148.66 = 53.45 : x
  2. Step 2: Convert to fraction form
    99.01/148.66 = 53.45/x
  3. Step 3: Cross multiply
    99.01x = 148.66 × 53.45
  4. Step 4: Simplify right side
    99.01x = 7,945.20
  5. Step 5: Solve for x
    x = 7,945.20/99.01
  6. Step 6: Final answer
    x = 80.25

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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.