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Finding the Fourth Proportional to 46.60, 64.64 and 45.80

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Solution

The fourth proportional to 46.60, 64.64 and 45.80 is: 63.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.60 : 64.64 = 45.80 : x
  2. Step 2: Convert to fraction form
    46.60/64.64 = 45.80/x
  3. Step 3: Cross multiply
    46.60x = 64.64 × 45.80
  4. Step 4: Simplify right side
    46.60x = 2,960.51
  5. Step 5: Solve for x
    x = 2,960.51/46.60
  6. Step 6: Final answer
    x = 63.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.