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Finding the Fourth Proportional to 64.53, 89.09 and 42.71

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Solution

The fourth proportional to 64.53, 89.09 and 42.71 is: 58.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.53 : 89.09 = 42.71 : x
  2. Step 2: Convert to fraction form
    64.53/89.09 = 42.71/x
  3. Step 3: Cross multiply
    64.53x = 89.09 × 42.71
  4. Step 4: Simplify right side
    64.53x = 3,804.37
  5. Step 5: Solve for x
    x = 3,804.37/64.53
  6. Step 6: Final answer
    x = 58.96

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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.