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Finding the Fourth Proportional to 46.53, 64.08 and 43.63

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Solution

The fourth proportional to 46.53, 64.08 and 43.63 is: 60.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.53 : 64.08 = 43.63 : x
  2. Step 2: Convert to fraction form
    46.53/64.08 = 43.63/x
  3. Step 3: Cross multiply
    46.53x = 64.08 × 43.63
  4. Step 4: Simplify right side
    46.53x = 2,795.65
  5. Step 5: Solve for x
    x = 2,795.65/46.53
  6. Step 6: Final answer
    x = 60.08

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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.