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Finding the Fourth Proportional to 117.82, 175.99 and 99.60

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Solution

The fourth proportional to 117.82, 175.99 and 99.60 is: 148.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.82 : 175.99 = 99.60 : x
  2. Step 2: Convert to fraction form
    117.82/175.99 = 99.60/x
  3. Step 3: Cross multiply
    117.82x = 175.99 × 99.60
  4. Step 4: Simplify right side
    117.82x = 17,527.23
  5. Step 5: Solve for x
    x = 17,527.23/117.82
  6. Step 6: Final answer
    x = 148.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.