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Finding the Fourth Proportional to 52.10, 71.84 and 46.59

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Solution

The fourth proportional to 52.10, 71.84 and 46.59 is: 64.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.10 : 71.84 = 46.59 : x
  2. Step 2: Convert to fraction form
    52.10/71.84 = 46.59/x
  3. Step 3: Cross multiply
    52.10x = 71.84 × 46.59
  4. Step 4: Simplify right side
    52.10x = 3,346.79
  5. Step 5: Solve for x
    x = 3,346.79/52.10
  6. Step 6: Final answer
    x = 64.24

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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.