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Finding the Fourth Proportional to 65.10, 96.24 and 65.10

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Solution

The fourth proportional to 65.10, 96.24 and 65.10 is: 96.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.10 : 96.24 = 65.10 : x
  2. Step 2: Convert to fraction form
    65.10/96.24 = 65.10/x
  3. Step 3: Cross multiply
    65.10x = 96.24 × 65.10
  4. Step 4: Simplify right side
    65.10x = 6,265.22
  5. Step 5: Solve for x
    x = 6,265.22/65.10
  6. Step 6: Final answer
    x = 96.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.