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Finding the Fourth Proportional to 117.23, 175.88 and 52.21

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Solution

The fourth proportional to 117.23, 175.88 and 52.21 is: 78.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.23 : 175.88 = 52.21 : x
  2. Step 2: Convert to fraction form
    117.23/175.88 = 52.21/x
  3. Step 3: Cross multiply
    117.23x = 175.88 × 52.21
  4. Step 4: Simplify right side
    117.23x = 9,181.99
  5. Step 5: Solve for x
    x = 9,181.99/117.23
  6. Step 6: Final answer
    x = 78.32

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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.