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Finding the Fourth Proportional to 99.45, 148.91 and 51.26

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Solution

The fourth proportional to 99.45, 148.91 and 51.26 is: 76.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.45 : 148.91 = 51.26 : x
  2. Step 2: Convert to fraction form
    99.45/148.91 = 51.26/x
  3. Step 3: Cross multiply
    99.45x = 148.91 × 51.26
  4. Step 4: Simplify right side
    99.45x = 7,632.13
  5. Step 5: Solve for x
    x = 7,632.13/99.45
  6. Step 6: Final answer
    x = 76.74

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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.