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Finding the Fourth Proportional to 53.02, 79.58 and 20.98

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Solution

The fourth proportional to 53.02, 79.58 and 20.98 is: 31.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.02 : 79.58 = 20.98 : x
  2. Step 2: Convert to fraction form
    53.02/79.58 = 20.98/x
  3. Step 3: Cross multiply
    53.02x = 79.58 × 20.98
  4. Step 4: Simplify right side
    53.02x = 1,669.59
  5. Step 5: Solve for x
    x = 1,669.59/53.02
  6. Step 6: Final answer
    x = 31.49

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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.