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Finding the Fourth Proportional to 71.49, 98.57 and 65.01

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Solution

The fourth proportional to 71.49, 98.57 and 65.01 is: 89.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.49 : 98.57 = 65.01 : x
  2. Step 2: Convert to fraction form
    71.49/98.57 = 65.01/x
  3. Step 3: Cross multiply
    71.49x = 98.57 × 65.01
  4. Step 4: Simplify right side
    71.49x = 6,407.71
  5. Step 5: Solve for x
    x = 6,407.71/71.49
  6. Step 6: Final answer
    x = 89.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.