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Finding the Fourth Proportional to 117.24, 175.34 and 88.03

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Solution

The fourth proportional to 117.24, 175.34 and 88.03 is: 131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.24 : 175.34 = 88.03 : x
  2. Step 2: Convert to fraction form
    117.24/175.34 = 88.03/x
  3. Step 3: Cross multiply
    117.24x = 175.34 × 88.03
  4. Step 4: Simplify right side
    117.24x = 15,434.30
  5. Step 5: Solve for x
    x = 15,434.30/117.24
  6. Step 6: Final answer
    x = 131.65

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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.