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Finding the Fourth Proportional to 99.41, 149.00 and 48

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Solution

The fourth proportional to 99.41, 149.00 and 48 is: 71.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.41 : 149.00 = 48 : x
  2. Step 2: Convert to fraction form
    99.41/149.00 = 48/x
  3. Step 3: Cross multiply
    99.41x = 149.00 × 48
  4. Step 4: Simplify right side
    99.41x = 7,152.12
  5. Step 5: Solve for x
    x = 7,152.12/99.41
  6. Step 6: Final answer
    x = 71.95

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Why These Related Problems?

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