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Finding the Fourth Proportional to 59.95, 90.01 and 38.42

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Solution

The fourth proportional to 59.95, 90.01 and 38.42 is: 57.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.95 : 90.01 = 38.42 : x
  2. Step 2: Convert to fraction form
    59.95/90.01 = 38.42/x
  3. Step 3: Cross multiply
    59.95x = 90.01 × 38.42
  4. Step 4: Simplify right side
    59.95x = 3,458.18
  5. Step 5: Solve for x
    x = 3,458.18/59.95
  6. Step 6: Final answer
    x = 57.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.