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Finding the Fourth Proportional to 70.01, 105.14 and 65.23

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Solution

The fourth proportional to 70.01, 105.14 and 65.23 is: 97.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.01 : 105.14 = 65.23 : x
  2. Step 2: Convert to fraction form
    70.01/105.14 = 65.23/x
  3. Step 3: Cross multiply
    70.01x = 105.14 × 65.23
  4. Step 4: Simplify right side
    70.01x = 6,858.02
  5. Step 5: Solve for x
    x = 6,858.02/70.01
  6. Step 6: Final answer
    x = 97.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.