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Finding the Fourth Proportional to 53.10, 79.64 and 21.04

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Solution

The fourth proportional to 53.10, 79.64 and 21.04 is: 31.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.10 : 79.64 = 21.04 : x
  2. Step 2: Convert to fraction form
    53.10/79.64 = 21.04/x
  3. Step 3: Cross multiply
    53.10x = 79.64 × 21.04
  4. Step 4: Simplify right side
    53.10x = 1,675.63
  5. Step 5: Solve for x
    x = 1,675.63/53.10
  6. Step 6: Final answer
    x = 31.56

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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.