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Finding the Fourth Proportional to 65.12, 98.03 and 58.50

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Solution

The fourth proportional to 65.12, 98.03 and 58.50 is: 88.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.12 : 98.03 = 58.50 : x
  2. Step 2: Convert to fraction form
    65.12/98.03 = 58.50/x
  3. Step 3: Cross multiply
    65.12x = 98.03 × 58.50
  4. Step 4: Simplify right side
    65.12x = 5,734.90
  5. Step 5: Solve for x
    x = 5,734.90/65.12
  6. Step 6: Final answer
    x = 88.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.