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Finding the Fourth Proportional to 74.42, 102.54 and 59.84

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Solution

The fourth proportional to 74.42, 102.54 and 59.84 is: 82.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.42 : 102.54 = 59.84 : x
  2. Step 2: Convert to fraction form
    74.42/102.54 = 59.84/x
  3. Step 3: Cross multiply
    74.42x = 102.54 × 59.84
  4. Step 4: Simplify right side
    74.42x = 6,135.99
  5. Step 5: Solve for x
    x = 6,135.99/74.42
  6. Step 6: Final answer
    x = 82.45

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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.