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Finding the Fourth Proportional to 59.81, 82.53 and 46.71

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Solution

The fourth proportional to 59.81, 82.53 and 46.71 is: 64.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.81 : 82.53 = 46.71 : x
  2. Step 2: Convert to fraction form
    59.81/82.53 = 46.71/x
  3. Step 3: Cross multiply
    59.81x = 82.53 × 46.71
  4. Step 4: Simplify right side
    59.81x = 3,855.04
  5. Step 5: Solve for x
    x = 3,855.04/59.81
  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.