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Finding the Fourth Proportional to 55.70, 76.98 and 43.46

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Solution

The fourth proportional to 55.70, 76.98 and 43.46 is: 60.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.70 : 76.98 = 43.46 : x
  2. Step 2: Convert to fraction form
    55.70/76.98 = 43.46/x
  3. Step 3: Cross multiply
    55.70x = 76.98 × 43.46
  4. Step 4: Simplify right side
    55.70x = 3,345.17
  5. Step 5: Solve for x
    x = 3,345.17/55.70
  6. Step 6: Final answer
    x = 60.06

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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.