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Finding the Fourth Proportional to 74.56, 103.58 and 73.89

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Solution

The fourth proportional to 74.56, 103.58 and 73.89 is: 102.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.56 : 103.58 = 73.89 : x
  2. Step 2: Convert to fraction form
    74.56/103.58 = 73.89/x
  3. Step 3: Cross multiply
    74.56x = 103.58 × 73.89
  4. Step 4: Simplify right side
    74.56x = 7,653.34
  5. Step 5: Solve for x
    x = 7,653.34/74.56
  6. Step 6: Final answer
    x = 102.65

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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.