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Finding the Fourth Proportional to 74.63, 102.95 and 53.87

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Solution

The fourth proportional to 74.63, 102.95 and 53.87 is: 74.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.63 : 102.95 = 53.87 : x
  2. Step 2: Convert to fraction form
    74.63/102.95 = 53.87/x
  3. Step 3: Cross multiply
    74.63x = 102.95 × 53.87
  4. Step 4: Simplify right side
    74.63x = 5,545.90
  5. Step 5: Solve for x
    x = 5,545.90/74.63
  6. Step 6: Final answer
    x = 74.31

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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.