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Finding the Fourth Proportional to 102.33, 141.30 and 97.47

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Solution

The fourth proportional to 102.33, 141.30 and 97.47 is: 134.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.33 : 141.30 = 97.47 : x
  2. Step 2: Convert to fraction form
    102.33/141.30 = 97.47/x
  3. Step 3: Cross multiply
    102.33x = 141.30 × 97.47
  4. Step 4: Simplify right side
    102.33x = 13,772.51
  5. Step 5: Solve for x
    x = 13,772.51/102.33
  6. Step 6: Final answer
    x = 134.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.