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Finding the Fourth Proportional to 64.52, 89.12 and 56.34

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Solution

The fourth proportional to 64.52, 89.12 and 56.34 is: 77.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.52 : 89.12 = 56.34 : x
  2. Step 2: Convert to fraction form
    64.52/89.12 = 56.34/x
  3. Step 3: Cross multiply
    64.52x = 89.12 × 56.34
  4. Step 4: Simplify right side
    64.52x = 5,021.02
  5. Step 5: Solve for x
    x = 5,021.02/64.52
  6. Step 6: Final answer
    x = 77.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.