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Finding the Fourth Proportional to 66.60, 91.77 and 57.84

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Solution

The fourth proportional to 66.60, 91.77 and 57.84 is: 79.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.60 : 91.77 = 57.84 : x
  2. Step 2: Convert to fraction form
    66.60/91.77 = 57.84/x
  3. Step 3: Cross multiply
    66.60x = 91.77 × 57.84
  4. Step 4: Simplify right side
    66.60x = 5,307.98
  5. Step 5: Solve for x
    x = 5,307.98/66.60
  6. Step 6: Final answer
    x = 79.70

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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.