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Finding the Fourth Proportional to 59.94, 89.69 and 56.47

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Solution

The fourth proportional to 59.94, 89.69 and 56.47 is: 84.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.94 : 89.69 = 56.47 : x
  2. Step 2: Convert to fraction form
    59.94/89.69 = 56.47/x
  3. Step 3: Cross multiply
    59.94x = 89.69 × 56.47
  4. Step 4: Simplify right side
    59.94x = 5,064.79
  5. Step 5: Solve for x
    x = 5,064.79/59.94
  6. Step 6: Final answer
    x = 84.50

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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.