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Finding the Fourth Proportional to 117.75, 176.86 and 99.63

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Solution

The fourth proportional to 117.75, 176.86 and 99.63 is: 149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.75 : 176.86 = 99.63 : x
  2. Step 2: Convert to fraction form
    117.75/176.86 = 99.63/x
  3. Step 3: Cross multiply
    117.75x = 176.86 × 99.63
  4. Step 4: Simplify right side
    117.75x = 17,619.62
  5. Step 5: Solve for x
    x = 17,619.62/117.75
  6. Step 6: Final answer
    x = 149.64

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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.