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Finding the Fourth Proportional to 59.03, 81.44 and 46.72

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Solution

The fourth proportional to 59.03, 81.44 and 46.72 is: 64.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.03 : 81.44 = 46.72 : x
  2. Step 2: Convert to fraction form
    59.03/81.44 = 46.72/x
  3. Step 3: Cross multiply
    59.03x = 81.44 × 46.72
  4. Step 4: Simplify right side
    59.03x = 3,804.92
  5. Step 5: Solve for x
    x = 3,804.92/59.03
  6. Step 6: Final answer
    x = 64.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.