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Finding the Fourth Proportional to 58.70, 80.96 and 46.40

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Solution

The fourth proportional to 58.70, 80.96 and 46.40 is: 64.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.70 : 80.96 = 46.40 : x
  2. Step 2: Convert to fraction form
    58.70/80.96 = 46.40/x
  3. Step 3: Cross multiply
    58.70x = 80.96 × 46.40
  4. Step 4: Simplify right side
    58.70x = 3,756.54
  5. Step 5: Solve for x
    x = 3,756.54/58.70
  6. Step 6: Final answer
    x = 64.00

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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.