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Finding the Fourth Proportional to 65.37, 89.84 and 62.36

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Solution

The fourth proportional to 65.37, 89.84 and 62.36 is: 85.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.37 : 89.84 = 62.36 : x
  2. Step 2: Convert to fraction form
    65.37/89.84 = 62.36/x
  3. Step 3: Cross multiply
    65.37x = 89.84 × 62.36
  4. Step 4: Simplify right side
    65.37x = 5,602.37
  5. Step 5: Solve for x
    x = 5,602.37/65.37
  6. Step 6: Final answer
    x = 85.70

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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.