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Finding the Fourth Proportional to 58.35, 80.51 and 53.75

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Solution

The fourth proportional to 58.35, 80.51 and 53.75 is: 74.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.35 : 80.51 = 53.75 : x
  2. Step 2: Convert to fraction form
    58.35/80.51 = 53.75/x
  3. Step 3: Cross multiply
    58.35x = 80.51 × 53.75
  4. Step 4: Simplify right side
    58.35x = 4,326.74
  5. Step 5: Solve for x
    x = 4,326.74/58.35
  6. Step 6: Final answer
    x = 74.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.