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Finding the Fourth Proportional to 65.10, 97.86 and 58.02

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Solution

The fourth proportional to 65.10, 97.86 and 58.02 is: 87.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.10 : 97.86 = 58.02 : x
  2. Step 2: Convert to fraction form
    65.10/97.86 = 58.02/x
  3. Step 3: Cross multiply
    65.10x = 97.86 × 58.02
  4. Step 4: Simplify right side
    65.10x = 5,677.84
  5. Step 5: Solve for x
    x = 5,677.84/65.10
  6. Step 6: Final answer
    x = 87.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.