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Finding the Fourth Proportional to 117.05, 174.92 and 100.79

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Solution

The fourth proportional to 117.05, 174.92 and 100.79 is: 150.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.05 : 174.92 = 100.79 : x
  2. Step 2: Convert to fraction form
    117.05/174.92 = 100.79/x
  3. Step 3: Cross multiply
    117.05x = 174.92 × 100.79
  4. Step 4: Simplify right side
    117.05x = 17,628.81
  5. Step 5: Solve for x
    x = 17,628.81/117.05
  6. Step 6: Final answer
    x = 150.62

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