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Finding the Fourth Proportional to 74.68, 103.01 and 53.93

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Solution

The fourth proportional to 74.68, 103.01 and 53.93 is: 74.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.68 : 103.01 = 53.93 : x
  2. Step 2: Convert to fraction form
    74.68/103.01 = 53.93/x
  3. Step 3: Cross multiply
    74.68x = 103.01 × 53.93
  4. Step 4: Simplify right side
    74.68x = 5,554.95
  5. Step 5: Solve for x
    x = 5,554.95/74.68
  6. Step 6: Final answer
    x = 74.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.