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Finding the Fourth Proportional to 71.04, 97.85 and 54.63

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Solution

The fourth proportional to 71.04, 97.85 and 54.63 is: 75.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.04 : 97.85 = 54.63 : x
  2. Step 2: Convert to fraction form
    71.04/97.85 = 54.63/x
  3. Step 3: Cross multiply
    71.04x = 97.85 × 54.63
  4. Step 4: Simplify right side
    71.04x = 5,345.55
  5. Step 5: Solve for x
    x = 5,345.55/71.04
  6. Step 6: Final answer
    x = 75.25

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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.