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Finding the Fourth Proportional to 64.46, 89.08 and 56.63

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Solution

The fourth proportional to 64.46, 89.08 and 56.63 is: 78.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.46 : 89.08 = 56.63 : x
  2. Step 2: Convert to fraction form
    64.46/89.08 = 56.63/x
  3. Step 3: Cross multiply
    64.46x = 89.08 × 56.63
  4. Step 4: Simplify right side
    64.46x = 5,044.68
  5. Step 5: Solve for x
    x = 5,044.68/64.46
  6. Step 6: Final answer
    x = 78.26

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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.