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Finding the Fourth Proportional to 117.18, 175.74 and 99.90

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Solution

The fourth proportional to 117.18, 175.74 and 99.90 is: 149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.18 : 175.74 = 99.90 : x
  2. Step 2: Convert to fraction form
    117.18/175.74 = 99.90/x
  3. Step 3: Cross multiply
    117.18x = 175.74 × 99.90
  4. Step 4: Simplify right side
    117.18x = 17,556.43
  5. Step 5: Solve for x
    x = 17,556.43/117.18
  6. Step 6: Final answer
    x = 149.82

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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.