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Finding the Fourth Proportional to 110.93, 153.01 and 71.60

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Solution

The fourth proportional to 110.93, 153.01 and 71.60 is: 98.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.93 : 153.01 = 71.60 : x
  2. Step 2: Convert to fraction form
    110.93/153.01 = 71.60/x
  3. Step 3: Cross multiply
    110.93x = 153.01 × 71.60
  4. Step 4: Simplify right side
    110.93x = 10,955.52
  5. Step 5: Solve for x
    x = 10,955.52/110.93
  6. Step 6: Final answer
    x = 98.76

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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.