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Finding the Fourth Proportional to 64.61, 96.81 and 52.43

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Solution

The fourth proportional to 64.61, 96.81 and 52.43 is: 78.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.61 : 96.81 = 52.43 : x
  2. Step 2: Convert to fraction form
    64.61/96.81 = 52.43/x
  3. Step 3: Cross multiply
    64.61x = 96.81 × 52.43
  4. Step 4: Simplify right side
    64.61x = 5,075.75
  5. Step 5: Solve for x
    x = 5,075.75/64.61
  6. Step 6: Final answer
    x = 78.56

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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.