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Finding the Fourth Proportional to 65.02, 98.07 and 57.51

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Solution

The fourth proportional to 65.02, 98.07 and 57.51 is: 86.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.02 : 98.07 = 57.51 : x
  2. Step 2: Convert to fraction form
    65.02/98.07 = 57.51/x
  3. Step 3: Cross multiply
    65.02x = 98.07 × 57.51
  4. Step 4: Simplify right side
    65.02x = 5,640.01
  5. Step 5: Solve for x
    x = 5,640.01/65.02
  6. Step 6: Final answer
    x = 86.74

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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.