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Finding the Fourth Proportional to 46.40, 64.16 and 43.20

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Solution

The fourth proportional to 46.40, 64.16 and 43.20 is: 59.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.40 : 64.16 = 43.20 : x
  2. Step 2: Convert to fraction form
    46.40/64.16 = 43.20/x
  3. Step 3: Cross multiply
    46.40x = 64.16 × 43.20
  4. Step 4: Simplify right side
    46.40x = 2,771.71
  5. Step 5: Solve for x
    x = 2,771.71/46.40
  6. Step 6: Final answer
    x = 59.74

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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.