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Finding the Fourth Proportional to 74.63, 102.39 and 69.98

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Solution

The fourth proportional to 74.63, 102.39 and 69.98 is: 96.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.63 : 102.39 = 69.98 : x
  2. Step 2: Convert to fraction form
    74.63/102.39 = 69.98/x
  3. Step 3: Cross multiply
    74.63x = 102.39 × 69.98
  4. Step 4: Simplify right side
    74.63x = 7,164.48
  5. Step 5: Solve for x
    x = 7,164.48/74.63
  6. Step 6: Final answer
    x = 96.00

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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.