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Finding the Fourth Proportional to 45.64, 68.83 and 42.64

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Solution

The fourth proportional to 45.64, 68.83 and 42.64 is: 64.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.64 : 68.83 = 42.64 : x
  2. Step 2: Convert to fraction form
    45.64/68.83 = 42.64/x
  3. Step 3: Cross multiply
    45.64x = 68.83 × 42.64
  4. Step 4: Simplify right side
    45.64x = 2,934.91
  5. Step 5: Solve for x
    x = 2,934.91/45.64
  6. Step 6: Final answer
    x = 64.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.