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Finding the Fourth Proportional to 42.10, 56.84 and 42.10

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Solution

The fourth proportional to 42.10, 56.84 and 42.10 is: 56.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.10 : 56.84 = 42.10 : x
  2. Step 2: Convert to fraction form
    42.10/56.84 = 42.10/x
  3. Step 3: Cross multiply
    42.10x = 56.84 × 42.10
  4. Step 4: Simplify right side
    42.10x = 2,392.75
  5. Step 5: Solve for x
    x = 2,392.75/42.10
  6. Step 6: Final answer
    x = 56.84

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.