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Finding the Fourth Proportional to 70.49, 96.75 and 65.01

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Solution

The fourth proportional to 70.49, 96.75 and 65.01 is: 89.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.49 : 96.75 = 65.01 : x
  2. Step 2: Convert to fraction form
    70.49/96.75 = 65.01/x
  3. Step 3: Cross multiply
    70.49x = 96.75 × 65.01
  4. Step 4: Simplify right side
    70.49x = 6,289.72
  5. Step 5: Solve for x
    x = 6,289.72/70.49
  6. Step 6: Final answer
    x = 89.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.