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Finding the Fourth Proportional to 48.72, 72.65 and 46.59

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Solution

The fourth proportional to 48.72, 72.65 and 46.59 is: 69.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.72 : 72.65 = 46.59 : x
  2. Step 2: Convert to fraction form
    48.72/72.65 = 46.59/x
  3. Step 3: Cross multiply
    48.72x = 72.65 × 46.59
  4. Step 4: Simplify right side
    48.72x = 3,384.53
  5. Step 5: Solve for x
    x = 3,384.53/48.72
  6. Step 6: Final answer
    x = 69.47

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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.