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Finding the Fourth Proportional to 117.60, 176.43 and 97.22

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Solution

The fourth proportional to 117.60, 176.43 and 97.22 is: 145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.60 : 176.43 = 97.22 : x
  2. Step 2: Convert to fraction form
    117.60/176.43 = 97.22/x
  3. Step 3: Cross multiply
    117.60x = 176.43 × 97.22
  4. Step 4: Simplify right side
    117.60x = 17,152.52
  5. Step 5: Solve for x
    x = 17,152.52/117.60
  6. Step 6: Final answer
    x = 145.85

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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.