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Finding the Fourth Proportional to 71.45, 98.57 and 42.32

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Solution

The fourth proportional to 71.45, 98.57 and 42.32 is: 58.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.45 : 98.57 = 42.32 : x
  2. Step 2: Convert to fraction form
    71.45/98.57 = 42.32/x
  3. Step 3: Cross multiply
    71.45x = 98.57 × 42.32
  4. Step 4: Simplify right side
    71.45x = 4,171.10
  5. Step 5: Solve for x
    x = 4,171.10/71.45
  6. Step 6: Final answer
    x = 58.38

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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.