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Finding the Fourth Proportional to 70.84, 97.71 and 65.03

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Solution

The fourth proportional to 70.84, 97.71 and 65.03 is: 89.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.84 : 97.71 = 65.03 : x
  2. Step 2: Convert to fraction form
    70.84/97.71 = 65.03/x
  3. Step 3: Cross multiply
    70.84x = 97.71 × 65.03
  4. Step 4: Simplify right side
    70.84x = 6,353.27
  5. Step 5: Solve for x
    x = 6,353.27/70.84
  6. Step 6: Final answer
    x = 89.69

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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.