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Finding the Fourth Proportional to 74.35, 102.49 and 53.59

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Solution

The fourth proportional to 74.35, 102.49 and 53.59 is: 73.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.35 : 102.49 = 53.59 : x
  2. Step 2: Convert to fraction form
    74.35/102.49 = 53.59/x
  3. Step 3: Cross multiply
    74.35x = 102.49 × 53.59
  4. Step 4: Simplify right side
    74.35x = 5,492.44
  5. Step 5: Solve for x
    x = 5,492.44/74.35
  6. Step 6: Final answer
    x = 73.87

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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.