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Finding the Fourth Proportional to 70.68, 106.47 and 64.62

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Solution

The fourth proportional to 70.68, 106.47 and 64.62 is: 97.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.68 : 106.47 = 64.62 : x
  2. Step 2: Convert to fraction form
    70.68/106.47 = 64.62/x
  3. Step 3: Cross multiply
    70.68x = 106.47 × 64.62
  4. Step 4: Simplify right side
    70.68x = 6,880.09
  5. Step 5: Solve for x
    x = 6,880.09/70.68
  6. Step 6: Final answer
    x = 97.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.