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Finding the Fourth Proportional to 73.55, 110.75 and 65.50

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Solution

The fourth proportional to 73.55, 110.75 and 65.50 is: 98.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.55 : 110.75 = 65.50 : x
  2. Step 2: Convert to fraction form
    73.55/110.75 = 65.50/x
  3. Step 3: Cross multiply
    73.55x = 110.75 × 65.50
  4. Step 4: Simplify right side
    73.55x = 7,254.13
  5. Step 5: Solve for x
    x = 7,254.13/73.55
  6. Step 6: Final answer
    x = 98.63

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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.