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Finding the Fourth Proportional to 70.52, 105.71 and 58.32

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Solution

The fourth proportional to 70.52, 105.71 and 58.32 is: 87.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.52 : 105.71 = 58.32 : x
  2. Step 2: Convert to fraction form
    70.52/105.71 = 58.32/x
  3. Step 3: Cross multiply
    70.52x = 105.71 × 58.32
  4. Step 4: Simplify right side
    70.52x = 6,165.01
  5. Step 5: Solve for x
    x = 6,165.01/70.52
  6. Step 6: Final answer
    x = 87.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.