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Finding the Fourth Proportional to 56.40, 84.61 and 42.14

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Solution

The fourth proportional to 56.40, 84.61 and 42.14 is: 63.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.40 : 84.61 = 42.14 : x
  2. Step 2: Convert to fraction form
    56.40/84.61 = 42.14/x
  3. Step 3: Cross multiply
    56.40x = 84.61 × 42.14
  4. Step 4: Simplify right side
    56.40x = 3,565.47
  5. Step 5: Solve for x
    x = 3,565.47/56.40
  6. Step 6: Final answer
    x = 63.22

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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.