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Finding the Fourth Proportional to 71.45, 98.76 and 55.07

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Solution

The fourth proportional to 71.45, 98.76 and 55.07 is: 76.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.45 : 98.76 = 55.07 : x
  2. Step 2: Convert to fraction form
    71.45/98.76 = 55.07/x
  3. Step 3: Cross multiply
    71.45x = 98.76 × 55.07
  4. Step 4: Simplify right side
    71.45x = 5,437.94
  5. Step 5: Solve for x
    x = 5,437.94/71.45
  6. Step 6: Final answer
    x = 76.11

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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.