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Finding the Fourth Proportional to 53.68, 74.10 and 35.02

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Solution

The fourth proportional to 53.68, 74.10 and 35.02 is: 48.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.68 : 74.10 = 35.02 : x
  2. Step 2: Convert to fraction form
    53.68/74.10 = 35.02/x
  3. Step 3: Cross multiply
    53.68x = 74.10 × 35.02
  4. Step 4: Simplify right side
    53.68x = 2,594.93
  5. Step 5: Solve for x
    x = 2,594.93/53.68
  6. Step 6: Final answer
    x = 48.34

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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.