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Finding the Fourth Proportional to 53.14, 73.16 and 46.66

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Solution

The fourth proportional to 53.14, 73.16 and 46.66 is: 64.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.14 : 73.16 = 46.66 : x
  2. Step 2: Convert to fraction form
    53.14/73.16 = 46.66/x
  3. Step 3: Cross multiply
    53.14x = 73.16 × 46.66
  4. Step 4: Simplify right side
    53.14x = 3,413.65
  5. Step 5: Solve for x
    x = 3,413.65/53.14
  6. Step 6: Final answer
    x = 64.24

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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.