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Finding the Fourth Proportional to 71.56, 98.70 and 53.08

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Solution

The fourth proportional to 71.56, 98.70 and 53.08 is: 73.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.56 : 98.70 = 53.08 : x
  2. Step 2: Convert to fraction form
    71.56/98.70 = 53.08/x
  3. Step 3: Cross multiply
    71.56x = 98.70 × 53.08
  4. Step 4: Simplify right side
    71.56x = 5,239.00
  5. Step 5: Solve for x
    x = 5,239.00/71.56
  6. Step 6: Final answer
    x = 73.21

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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.