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Finding the Fourth Proportional to 52.39, 78.64 and 32.14

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Solution

The fourth proportional to 52.39, 78.64 and 32.14 is: 48.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.39 : 78.64 = 32.14 : x
  2. Step 2: Convert to fraction form
    52.39/78.64 = 32.14/x
  3. Step 3: Cross multiply
    52.39x = 78.64 × 32.14
  4. Step 4: Simplify right side
    52.39x = 2,527.51
  5. Step 5: Solve for x
    x = 2,527.51/52.39
  6. Step 6: Final answer
    x = 48.24

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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.