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Finding the Fourth Proportional to 53.51, 79.74 and 51.24

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Solution

The fourth proportional to 53.51, 79.74 and 51.24 is: 76.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.51 : 79.74 = 51.24 : x
  2. Step 2: Convert to fraction form
    53.51/79.74 = 51.24/x
  3. Step 3: Cross multiply
    53.51x = 79.74 × 51.24
  4. Step 4: Simplify right side
    53.51x = 4,085.88
  5. Step 5: Solve for x
    x = 4,085.88/53.51
  6. Step 6: Final answer
    x = 76.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.