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Finding the Fourth Proportional to 114.54, 170.82 and 97.22

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Solution

The fourth proportional to 114.54, 170.82 and 97.22 is: 144.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.54 : 170.82 = 97.22 : x
  2. Step 2: Convert to fraction form
    114.54/170.82 = 97.22/x
  3. Step 3: Cross multiply
    114.54x = 170.82 × 97.22
  4. Step 4: Simplify right side
    114.54x = 16,607.12
  5. Step 5: Solve for x
    x = 16,607.12/114.54
  6. Step 6: Final answer
    x = 144.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.