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Finding the Fourth Proportional to 65.57, 97.56 and 65.34

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Solution

The fourth proportional to 65.57, 97.56 and 65.34 is: 97.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.57 : 97.56 = 65.34 : x
  2. Step 2: Convert to fraction form
    65.57/97.56 = 65.34/x
  3. Step 3: Cross multiply
    65.57x = 97.56 × 65.34
  4. Step 4: Simplify right side
    65.57x = 6,374.49
  5. Step 5: Solve for x
    x = 6,374.49/65.57
  6. Step 6: Final answer
    x = 97.21

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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.