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Finding the Fourth Proportional to 70.33, 96.93 and 54.00

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Solution

The fourth proportional to 70.33, 96.93 and 54.00 is: 74.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.33 : 96.93 = 54.00 : x
  2. Step 2: Convert to fraction form
    70.33/96.93 = 54.00/x
  3. Step 3: Cross multiply
    70.33x = 96.93 × 54.00
  4. Step 4: Simplify right side
    70.33x = 5,233.47
  5. Step 5: Solve for x
    x = 5,233.47/70.33
  6. Step 6: Final answer
    x = 74.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.