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Finding the Fourth Proportional to 59.46, 88.74 and 54.32

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Solution

The fourth proportional to 59.46, 88.74 and 54.32 is: 81.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.46 : 88.74 = 54.32 : x
  2. Step 2: Convert to fraction form
    59.46/88.74 = 54.32/x
  3. Step 3: Cross multiply
    59.46x = 88.74 × 54.32
  4. Step 4: Simplify right side
    59.46x = 4,820.36
  5. Step 5: Solve for x
    x = 4,820.36/59.46
  6. Step 6: Final answer
    x = 81.07

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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.