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Finding the Fourth Proportional to 74.07, 110.53 and 65.38

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Solution

The fourth proportional to 74.07, 110.53 and 65.38 is: 97.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.07 : 110.53 = 65.38 : x
  2. Step 2: Convert to fraction form
    74.07/110.53 = 65.38/x
  3. Step 3: Cross multiply
    74.07x = 110.53 × 65.38
  4. Step 4: Simplify right side
    74.07x = 7,226.45
  5. Step 5: Solve for x
    x = 7,226.45/74.07
  6. Step 6: Final answer
    x = 97.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.