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Finding the Fourth Proportional to 99.10, 148.64 and 38.26

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Solution

The fourth proportional to 99.10, 148.64 and 38.26 is: 57.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.10 : 148.64 = 38.26 : x
  2. Step 2: Convert to fraction form
    99.10/148.64 = 38.26/x
  3. Step 3: Cross multiply
    99.10x = 148.64 × 38.26
  4. Step 4: Simplify right side
    99.10x = 5,686.69
  5. Step 5: Solve for x
    x = 5,686.69/99.10
  6. Step 6: Final answer
    x = 57.38

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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.