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Finding the Fourth Proportional to 48.93, 72.89 and 46.59

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Solution

The fourth proportional to 48.93, 72.89 and 46.59 is: 69.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.93 : 72.89 = 46.59 : x
  2. Step 2: Convert to fraction form
    48.93/72.89 = 46.59/x
  3. Step 3: Cross multiply
    48.93x = 72.89 × 46.59
  4. Step 4: Simplify right side
    48.93x = 3,395.71
  5. Step 5: Solve for x
    x = 3,395.71/48.93
  6. Step 6: Final answer
    x = 69.40

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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.