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Finding the Fourth Proportional to 117.07, 176.54 and 110.70

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Solution

The fourth proportional to 117.07, 176.54 and 110.70 is: 166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.07 : 176.54 = 110.70 : x
  2. Step 2: Convert to fraction form
    117.07/176.54 = 110.70/x
  3. Step 3: Cross multiply
    117.07x = 176.54 × 110.70
  4. Step 4: Simplify right side
    117.07x = 19,542.42
  5. Step 5: Solve for x
    x = 19,542.42/117.07
  6. Step 6: Final answer
    x = 166.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.