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Finding the Fourth Proportional to 71.06, 98.01 and 46.50

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Solution

The fourth proportional to 71.06, 98.01 and 46.50 is: 64.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.06 : 98.01 = 46.50 : x
  2. Step 2: Convert to fraction form
    71.06/98.01 = 46.50/x
  3. Step 3: Cross multiply
    71.06x = 98.01 × 46.50
  4. Step 4: Simplify right side
    71.06x = 4,557.47
  5. Step 5: Solve for x
    x = 4,557.47/71.06
  6. Step 6: Final answer
    x = 64.14

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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.