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Finding the Fourth Proportional to 74.17, 102.85 and 70.03

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Solution

The fourth proportional to 74.17, 102.85 and 70.03 is: 97.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.17 : 102.85 = 70.03 : x
  2. Step 2: Convert to fraction form
    74.17/102.85 = 70.03/x
  3. Step 3: Cross multiply
    74.17x = 102.85 × 70.03
  4. Step 4: Simplify right side
    74.17x = 7,201.72
  5. Step 5: Solve for x
    x = 7,201.72/74.17
  6. Step 6: Final answer
    x = 97.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.