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Finding the Fourth Proportional to 59.66, 89.05 and 55.32

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Solution

The fourth proportional to 59.66, 89.05 and 55.32 is: 82.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.66 : 89.05 = 55.32 : x
  2. Step 2: Convert to fraction form
    59.66/89.05 = 55.32/x
  3. Step 3: Cross multiply
    59.66x = 89.05 × 55.32
  4. Step 4: Simplify right side
    59.66x = 4,926.49
  5. Step 5: Solve for x
    x = 4,926.49/59.66
  6. Step 6: Final answer
    x = 82.57

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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.