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Finding the Fourth Proportional to 64.61, 89.17 and 45.19

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Solution

The fourth proportional to 64.61, 89.17 and 45.19 is: 62.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.61 : 89.17 = 45.19 : x
  2. Step 2: Convert to fraction form
    64.61/89.17 = 45.19/x
  3. Step 3: Cross multiply
    64.61x = 89.17 × 45.19
  4. Step 4: Simplify right side
    64.61x = 4,029.26
  5. Step 5: Solve for x
    x = 4,029.26/64.61
  6. Step 6: Final answer
    x = 62.37

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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.