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Finding the Fourth Proportional to 51.40, 71 and 46.77

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Solution

The fourth proportional to 51.40, 71 and 46.77 is: 64.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.40 : 71 = 46.77 : x
  2. Step 2: Convert to fraction form
    51.40/71 = 46.77/x
  3. Step 3: Cross multiply
    51.40x = 71 × 46.77
  4. Step 4: Simplify right side
    51.40x = 3,320.67
  5. Step 5: Solve for x
    x = 3,320.67/51.40
  6. Step 6: Final answer
    x = 64.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.