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Finding the Fourth Proportional to 74.63, 102.74 and 64.92

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Solution

The fourth proportional to 74.63, 102.74 and 64.92 is: 89.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.63 : 102.74 = 64.92 : x
  2. Step 2: Convert to fraction form
    74.63/102.74 = 64.92/x
  3. Step 3: Cross multiply
    74.63x = 102.74 × 64.92
  4. Step 4: Simplify right side
    74.63x = 6,669.56
  5. Step 5: Solve for x
    x = 6,669.56/74.63
  6. Step 6: Final answer
    x = 89.37

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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.