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Finding the Fourth Proportional to 69.42, 95.61 and 65.46

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Solution

The fourth proportional to 69.42, 95.61 and 65.46 is: 90.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.42 : 95.61 = 65.46 : x
  2. Step 2: Convert to fraction form
    69.42/95.61 = 65.46/x
  3. Step 3: Cross multiply
    69.42x = 95.61 × 65.46
  4. Step 4: Simplify right side
    69.42x = 6,258.63
  5. Step 5: Solve for x
    x = 6,258.63/69.42
  6. Step 6: Final answer
    x = 90.16

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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.