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Finding the Fourth Proportional to 76.23, 114.26 and 45.72

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Solution

The fourth proportional to 76.23, 114.26 and 45.72 is: 68.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.23 : 114.26 = 45.72 : x
  2. Step 2: Convert to fraction form
    76.23/114.26 = 45.72/x
  3. Step 3: Cross multiply
    76.23x = 114.26 × 45.72
  4. Step 4: Simplify right side
    76.23x = 5,223.74
  5. Step 5: Solve for x
    x = 5,223.74/76.23
  6. Step 6: Final answer
    x = 68.53

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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.