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Finding the Fourth Proportional to 71.46, 105.68 and 71.46

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Solution

The fourth proportional to 71.46, 105.68 and 71.46 is: 105.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.46 : 105.68 = 71.46 : x
  2. Step 2: Convert to fraction form
    71.46/105.68 = 71.46/x
  3. Step 3: Cross multiply
    71.46x = 105.68 × 71.46
  4. Step 4: Simplify right side
    71.46x = 7,551.89
  5. Step 5: Solve for x
    x = 7,551.89/71.46
  6. Step 6: Final answer
    x = 105.68

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.