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Finding the Fourth Proportional to 59.94, 89.34 and 57.24

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Solution

The fourth proportional to 59.94, 89.34 and 57.24 is: 85.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.94 : 89.34 = 57.24 : x
  2. Step 2: Convert to fraction form
    59.94/89.34 = 57.24/x
  3. Step 3: Cross multiply
    59.94x = 89.34 × 57.24
  4. Step 4: Simplify right side
    59.94x = 5,113.82
  5. Step 5: Solve for x
    x = 5,113.82/59.94
  6. Step 6: Final answer
    x = 85.32

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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.