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Finding the Fourth Proportional to 70.59, 106.43 and 64.59

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Solution

The fourth proportional to 70.59, 106.43 and 64.59 is: 97.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.59 : 106.43 = 64.59 : x
  2. Step 2: Convert to fraction form
    70.59/106.43 = 64.59/x
  3. Step 3: Cross multiply
    70.59x = 106.43 × 64.59
  4. Step 4: Simplify right side
    70.59x = 6,874.48
  5. Step 5: Solve for x
    x = 6,874.48/70.59
  6. Step 6: Final answer
    x = 97.39

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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.