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Finding the Fourth Proportional to 59.64, 89.37 and 56.22

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Solution

The fourth proportional to 59.64, 89.37 and 56.22 is: 84.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.64 : 89.37 = 56.22 : x
  2. Step 2: Convert to fraction form
    59.64/89.37 = 56.22/x
  3. Step 3: Cross multiply
    59.64x = 89.37 × 56.22
  4. Step 4: Simplify right side
    59.64x = 5,024.38
  5. Step 5: Solve for x
    x = 5,024.38/59.64
  6. Step 6: Final answer
    x = 84.25

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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.