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Finding the Fourth Proportional to 56.64, 85.02 and 42.24

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Solution

The fourth proportional to 56.64, 85.02 and 42.24 is: 63.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.64 : 85.02 = 42.24 : x
  2. Step 2: Convert to fraction form
    56.64/85.02 = 42.24/x
  3. Step 3: Cross multiply
    56.64x = 85.02 × 42.24
  4. Step 4: Simplify right side
    56.64x = 3,591.24
  5. Step 5: Solve for x
    x = 3,591.24/56.64
  6. Step 6: Final answer
    x = 63.40

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