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Finding the Fourth Proportional to 71.48, 98.64 and 42.37

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Solution

The fourth proportional to 71.48, 98.64 and 42.37 is: 58.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.48 : 98.64 = 42.37 : x
  2. Step 2: Convert to fraction form
    71.48/98.64 = 42.37/x
  3. Step 3: Cross multiply
    71.48x = 98.64 × 42.37
  4. Step 4: Simplify right side
    71.48x = 4,179.13
  5. Step 5: Solve for x
    x = 4,179.13/71.48
  6. Step 6: Final answer
    x = 58.46

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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.