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Finding the Fourth Proportional to 65.40, 97.64 and 65.22

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Solution

The fourth proportional to 65.40, 97.64 and 65.22 is: 97.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.40 : 97.64 = 65.22 : x
  2. Step 2: Convert to fraction form
    65.40/97.64 = 65.22/x
  3. Step 3: Cross multiply
    65.40x = 97.64 × 65.22
  4. Step 4: Simplify right side
    65.40x = 6,367.75
  5. Step 5: Solve for x
    x = 6,367.75/65.40
  6. Step 6: Final answer
    x = 97.37

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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.