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Finding the Fourth Proportional to 70.84, 105.65 and 65.44

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Solution

The fourth proportional to 70.84, 105.65 and 65.44 is: 97.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.84 : 105.65 = 65.44 : x
  2. Step 2: Convert to fraction form
    70.84/105.65 = 65.44/x
  3. Step 3: Cross multiply
    70.84x = 105.65 × 65.44
  4. Step 4: Simplify right side
    70.84x = 6,913.74
  5. Step 5: Solve for x
    x = 6,913.74/70.84
  6. Step 6: Final answer
    x = 97.60

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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.