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Finding the Fourth Proportional to 53.07, 79.64 and 36.81

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Solution

The fourth proportional to 53.07, 79.64 and 36.81 is: 55.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.07 : 79.64 = 36.81 : x
  2. Step 2: Convert to fraction form
    53.07/79.64 = 36.81/x
  3. Step 3: Cross multiply
    53.07x = 79.64 × 36.81
  4. Step 4: Simplify right side
    53.07x = 2,931.36
  5. Step 5: Solve for x
    x = 2,931.36/53.07
  6. Step 6: Final answer
    x = 55.24

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Why These Related Problems?

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