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Finding the Fourth Proportional to 73.79, 102.02 and 64.68

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Solution

The fourth proportional to 73.79, 102.02 and 64.68 is: 89.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.79 : 102.02 = 64.68 : x
  2. Step 2: Convert to fraction form
    73.79/102.02 = 64.68/x
  3. Step 3: Cross multiply
    73.79x = 102.02 × 64.68
  4. Step 4: Simplify right side
    73.79x = 6,598.14
  5. Step 5: Solve for x
    x = 6,598.14/73.79
  6. Step 6: Final answer
    x = 89.42

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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.