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Finding the Fourth Proportional to 65.15, 90.32 and 62.31

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Solution

The fourth proportional to 65.15, 90.32 and 62.31 is: 86.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.15 : 90.32 = 62.31 : x
  2. Step 2: Convert to fraction form
    65.15/90.32 = 62.31/x
  3. Step 3: Cross multiply
    65.15x = 90.32 × 62.31
  4. Step 4: Simplify right side
    65.15x = 5,627.99
  5. Step 5: Solve for x
    x = 5,627.99/65.15
  6. Step 6: Final answer
    x = 86.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.