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Finding the Fourth Proportional to 64.87, 97.35 and 46.87

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Solution

The fourth proportional to 64.87, 97.35 and 46.87 is: 70.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.87 : 97.35 = 46.87 : x
  2. Step 2: Convert to fraction form
    64.87/97.35 = 46.87/x
  3. Step 3: Cross multiply
    64.87x = 97.35 × 46.87
  4. Step 4: Simplify right side
    64.87x = 4,562.79
  5. Step 5: Solve for x
    x = 4,562.79/64.87
  6. Step 6: Final answer
    x = 70.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.