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Finding the Fourth Proportional to 74.03, 110.75 and 64.35

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Solution

The fourth proportional to 74.03, 110.75 and 64.35 is: 96.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.03 : 110.75 = 64.35 : x
  2. Step 2: Convert to fraction form
    74.03/110.75 = 64.35/x
  3. Step 3: Cross multiply
    74.03x = 110.75 × 64.35
  4. Step 4: Simplify right side
    74.03x = 7,126.44
  5. Step 5: Solve for x
    x = 7,126.44/74.03
  6. Step 6: Final answer
    x = 96.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.