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Finding the Fourth Proportional to 59.54, 89.10 and 46.46

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Solution

The fourth proportional to 59.54, 89.10 and 46.46 is: 69.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.54 : 89.10 = 46.46 : x
  2. Step 2: Convert to fraction form
    59.54/89.10 = 46.46/x
  3. Step 3: Cross multiply
    59.54x = 89.10 × 46.46
  4. Step 4: Simplify right side
    59.54x = 4,139.81
  5. Step 5: Solve for x
    x = 4,139.81/59.54
  6. Step 6: Final answer
    x = 69.54

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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.