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Finding the Fourth Proportional to 43.10, 64.58 and 35.46

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Solution

The fourth proportional to 43.10, 64.58 and 35.46 is: 53.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.10 : 64.58 = 35.46 : x
  2. Step 2: Convert to fraction form
    43.10/64.58 = 35.46/x
  3. Step 3: Cross multiply
    43.10x = 64.58 × 35.46
  4. Step 4: Simplify right side
    43.10x = 2,290.01
  5. Step 5: Solve for x
    x = 2,290.01/43.10
  6. Step 6: Final answer
    x = 53.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.