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Finding the Fourth Proportional to 74.23, 102.39 and 53.50

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Solution

The fourth proportional to 74.23, 102.39 and 53.50 is: 73.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.23 : 102.39 = 53.50 : x
  2. Step 2: Convert to fraction form
    74.23/102.39 = 53.50/x
  3. Step 3: Cross multiply
    74.23x = 102.39 × 53.50
  4. Step 4: Simplify right side
    74.23x = 5,477.87
  5. Step 5: Solve for x
    x = 5,477.87/74.23
  6. Step 6: Final answer
    x = 73.80

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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.