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Finding the Fourth Proportional to 64.84, 89 and 56.20

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Solution

The fourth proportional to 64.84, 89 and 56.20 is: 77.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.84 : 89 = 56.20 : x
  2. Step 2: Convert to fraction form
    64.84/89 = 56.20/x
  3. Step 3: Cross multiply
    64.84x = 89 × 56.20
  4. Step 4: Simplify right side
    64.84x = 5,001.80
  5. Step 5: Solve for x
    x = 5,001.80/64.84
  6. Step 6: Final answer
    x = 77.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.