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Finding the Fourth Proportional to 71.83, 98.98 and 53.11

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Solution

The fourth proportional to 71.83, 98.98 and 53.11 is: 73.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.83 : 98.98 = 53.11 : x
  2. Step 2: Convert to fraction form
    71.83/98.98 = 53.11/x
  3. Step 3: Cross multiply
    71.83x = 98.98 × 53.11
  4. Step 4: Simplify right side
    71.83x = 5,256.83
  5. Step 5: Solve for x
    x = 5,256.83/71.83
  6. Step 6: Final answer
    x = 73.18

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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.