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Finding the Fourth Proportional to 64.00, 88.72 and 61.77

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Solution

The fourth proportional to 64.00, 88.72 and 61.77 is: 85.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.00 : 88.72 = 61.77 : x
  2. Step 2: Convert to fraction form
    64.00/88.72 = 61.77/x
  3. Step 3: Cross multiply
    64.00x = 88.72 × 61.77
  4. Step 4: Simplify right side
    64.00x = 5,480.23
  5. Step 5: Solve for x
    x = 5,480.23/64.00
  6. Step 6: Final answer
    x = 85.64

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.