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Finding the Fourth Proportional to 57.93, 79.80 and 46.98

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Solution

The fourth proportional to 57.93, 79.80 and 46.98 is: 64.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.93 : 79.80 = 46.98 : x
  2. Step 2: Convert to fraction form
    57.93/79.80 = 46.98/x
  3. Step 3: Cross multiply
    57.93x = 79.80 × 46.98
  4. Step 4: Simplify right side
    57.93x = 3,749.00
  5. Step 5: Solve for x
    x = 3,749.00/57.93
  6. Step 6: Final answer
    x = 64.72

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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.