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Finding the Fourth Proportional to 71.65, 98.77 and 51.93

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Solution

The fourth proportional to 71.65, 98.77 and 51.93 is: 71.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.65 : 98.77 = 51.93 : x
  2. Step 2: Convert to fraction form
    71.65/98.77 = 51.93/x
  3. Step 3: Cross multiply
    71.65x = 98.77 × 51.93
  4. Step 4: Simplify right side
    71.65x = 5,129.13
  5. Step 5: Solve for x
    x = 5,129.13/71.65
  6. Step 6: Final answer
    x = 71.59

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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.