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Finding the Fourth Proportional to 97.49, 134.54 and 53.23

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Solution

The fourth proportional to 97.49, 134.54 and 53.23 is: 73.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.49 : 134.54 = 53.23 : x
  2. Step 2: Convert to fraction form
    97.49/134.54 = 53.23/x
  3. Step 3: Cross multiply
    97.49x = 134.54 × 53.23
  4. Step 4: Simplify right side
    97.49x = 7,160.96
  5. Step 5: Solve for x
    x = 7,160.96/97.49
  6. Step 6: Final answer
    x = 73.46

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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.