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Finding the Fourth Proportional to 55.14, 76 and 46.92

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Solution

The fourth proportional to 55.14, 76 and 46.92 is: 64.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.14 : 76 = 46.92 : x
  2. Step 2: Convert to fraction form
    55.14/76 = 46.92/x
  3. Step 3: Cross multiply
    55.14x = 76 × 46.92
  4. Step 4: Simplify right side
    55.14x = 3,565.92
  5. Step 5: Solve for x
    x = 3,565.92/55.14
  6. Step 6: Final answer
    x = 64.67

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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.