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Finding the Fourth Proportional to 74.96, 113.04 and 70.48

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Solution

The fourth proportional to 74.96, 113.04 and 70.48 is: 106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.96 : 113.04 = 70.48 : x
  2. Step 2: Convert to fraction form
    74.96/113.04 = 70.48/x
  3. Step 3: Cross multiply
    74.96x = 113.04 × 70.48
  4. Step 4: Simplify right side
    74.96x = 7,967.06
  5. Step 5: Solve for x
    x = 7,967.06/74.96
  6. Step 6: Final answer
    x = 106.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.