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Finding the Fourth Proportional to 66.80, 99.78 and 56.68

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Solution

The fourth proportional to 66.80, 99.78 and 56.68 is: 84.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.80 : 99.78 = 56.68 : x
  2. Step 2: Convert to fraction form
    66.80/99.78 = 56.68/x
  3. Step 3: Cross multiply
    66.80x = 99.78 × 56.68
  4. Step 4: Simplify right side
    66.80x = 5,655.53
  5. Step 5: Solve for x
    x = 5,655.53/66.80
  6. Step 6: Final answer
    x = 84.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.