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Finding the Fourth Proportional to 76.21, 105.14 and 43.45

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Solution

The fourth proportional to 76.21, 105.14 and 43.45 is: 59.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.21 : 105.14 = 43.45 : x
  2. Step 2: Convert to fraction form
    76.21/105.14 = 43.45/x
  3. Step 3: Cross multiply
    76.21x = 105.14 × 43.45
  4. Step 4: Simplify right side
    76.21x = 4,567.81
  5. Step 5: Solve for x
    x = 4,567.81/76.21
  6. Step 6: Final answer
    x = 59.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.