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Finding the Fourth Proportional to 64.16, 88.49 and 40.87

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Solution

The fourth proportional to 64.16, 88.49 and 40.87 is: 56.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.16 : 88.49 = 40.87 : x
  2. Step 2: Convert to fraction form
    64.16/88.49 = 40.87/x
  3. Step 3: Cross multiply
    64.16x = 88.49 × 40.87
  4. Step 4: Simplify right side
    64.16x = 3,616.14
  5. Step 5: Solve for x
    x = 3,616.14/64.16
  6. Step 6: Final answer
    x = 56.37

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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.