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Finding the Fourth Proportional to 71.31, 98.40 and 46.77

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Solution

The fourth proportional to 71.31, 98.40 and 46.77 is: 64.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.31 : 98.40 = 46.77 : x
  2. Step 2: Convert to fraction form
    71.31/98.40 = 46.77/x
  3. Step 3: Cross multiply
    71.31x = 98.40 × 46.77
  4. Step 4: Simplify right side
    71.31x = 4,602.17
  5. Step 5: Solve for x
    x = 4,602.17/71.31
  6. Step 6: Final answer
    x = 64.54

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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.