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Finding the Fourth Proportional to 117.14, 174.95 and 94.35

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Solution

The fourth proportional to 117.14, 174.95 and 94.35 is: 140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.14 : 174.95 = 94.35 : x
  2. Step 2: Convert to fraction form
    117.14/174.95 = 94.35/x
  3. Step 3: Cross multiply
    117.14x = 174.95 × 94.35
  4. Step 4: Simplify right side
    117.14x = 16,506.06
  5. Step 5: Solve for x
    x = 16,506.06/117.14
  6. Step 6: Final answer
    x = 140.91

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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.