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Finding the Fourth Proportional to 75.22, 103.14 and 72.64

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Solution

The fourth proportional to 75.22, 103.14 and 72.64 is: 99.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.22 : 103.14 = 72.64 : x
  2. Step 2: Convert to fraction form
    75.22/103.14 = 72.64/x
  3. Step 3: Cross multiply
    75.22x = 103.14 × 72.64
  4. Step 4: Simplify right side
    75.22x = 7,492.09
  5. Step 5: Solve for x
    x = 7,492.09/75.22
  6. Step 6: Final answer
    x = 99.60

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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.