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Finding the Fourth Proportional to 64.33, 88.49 and 56.14

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Solution

The fourth proportional to 64.33, 88.49 and 56.14 is: 77.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.33 : 88.49 = 56.14 : x
  2. Step 2: Convert to fraction form
    64.33/88.49 = 56.14/x
  3. Step 3: Cross multiply
    64.33x = 88.49 × 56.14
  4. Step 4: Simplify right side
    64.33x = 4,967.75
  5. Step 5: Solve for x
    x = 4,967.75/64.33
  6. Step 6: Final answer
    x = 77.23

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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.