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Finding the Fourth Proportional to 57.64, 86.52 and 56.35

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Solution

The fourth proportional to 57.64, 86.52 and 56.35 is: 84.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.64 : 86.52 = 56.35 : x
  2. Step 2: Convert to fraction form
    57.64/86.52 = 56.35/x
  3. Step 3: Cross multiply
    57.64x = 86.52 × 56.35
  4. Step 4: Simplify right side
    57.64x = 4,875.40
  5. Step 5: Solve for x
    x = 4,875.40/57.64
  6. Step 6: Final answer
    x = 84.58

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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.