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Finding the Fourth Proportional to 117.23, 175.71 and 65.85

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Solution

The fourth proportional to 117.23, 175.71 and 65.85 is: 98.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.23 : 175.71 = 65.85 : x
  2. Step 2: Convert to fraction form
    117.23/175.71 = 65.85/x
  3. Step 3: Cross multiply
    117.23x = 175.71 × 65.85
  4. Step 4: Simplify right side
    117.23x = 11,570.50
  5. Step 5: Solve for x
    x = 11,570.50/117.23
  6. Step 6: Final answer
    x = 98.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.