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Finding the Fourth Proportional to 64.58, 89.14 and 39.68

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Solution

The fourth proportional to 64.58, 89.14 and 39.68 is: 54.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.58 : 89.14 = 39.68 : x
  2. Step 2: Convert to fraction form
    64.58/89.14 = 39.68/x
  3. Step 3: Cross multiply
    64.58x = 89.14 × 39.68
  4. Step 4: Simplify right side
    64.58x = 3,537.08
  5. Step 5: Solve for x
    x = 3,537.08/64.58
  6. Step 6: Final answer
    x = 54.77

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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.