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Finding the Fourth Proportional to 117.14, 174.72 and 100.70

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Solution

The fourth proportional to 117.14, 174.72 and 100.70 is: 150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.14 : 174.72 = 100.70 : x
  2. Step 2: Convert to fraction form
    117.14/174.72 = 100.70/x
  3. Step 3: Cross multiply
    117.14x = 174.72 × 100.70
  4. Step 4: Simplify right side
    117.14x = 17,594.30
  5. Step 5: Solve for x
    x = 17,594.30/117.14
  6. Step 6: Final answer
    x = 150.20

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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.