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Finding the Fourth Proportional to 77.76, 116.70 and 62.40

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Solution

The fourth proportional to 77.76, 116.70 and 62.40 is: 93.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.76 : 116.70 = 62.40 : x
  2. Step 2: Convert to fraction form
    77.76/116.70 = 62.40/x
  3. Step 3: Cross multiply
    77.76x = 116.70 × 62.40
  4. Step 4: Simplify right side
    77.76x = 7,282.08
  5. Step 5: Solve for x
    x = 7,282.08/77.76
  6. Step 6: Final answer
    x = 93.65

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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.