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Finding the Fourth Proportional to 74.55, 102.75 and 53.76

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Solution

The fourth proportional to 74.55, 102.75 and 53.76 is: 74.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.55 : 102.75 = 53.76 : x
  2. Step 2: Convert to fraction form
    74.55/102.75 = 53.76/x
  3. Step 3: Cross multiply
    74.55x = 102.75 × 53.76
  4. Step 4: Simplify right side
    74.55x = 5,523.84
  5. Step 5: Solve for x
    x = 5,523.84/74.55
  6. Step 6: Final answer
    x = 74.10

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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.