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Finding the Fourth Proportional to 65.31, 89.90 and 56.59

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Solution

The fourth proportional to 65.31, 89.90 and 56.59 is: 77.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.31 : 89.90 = 56.59 : x
  2. Step 2: Convert to fraction form
    65.31/89.90 = 56.59/x
  3. Step 3: Cross multiply
    65.31x = 89.90 × 56.59
  4. Step 4: Simplify right side
    65.31x = 5,087.44
  5. Step 5: Solve for x
    x = 5,087.44/65.31
  6. Step 6: Final answer
    x = 77.90

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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.