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Finding the Fourth Proportional to 64.42, 96.77 and 54.81

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Solution

The fourth proportional to 64.42, 96.77 and 54.81 is: 82.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.42 : 96.77 = 54.81 : x
  2. Step 2: Convert to fraction form
    64.42/96.77 = 54.81/x
  3. Step 3: Cross multiply
    64.42x = 96.77 × 54.81
  4. Step 4: Simplify right side
    64.42x = 5,303.45
  5. Step 5: Solve for x
    x = 5,303.45/64.42
  6. Step 6: Final answer
    x = 82.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.