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Finding the Fourth Proportional to 35.07, 52.38 and 30.02

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Solution

The fourth proportional to 35.07, 52.38 and 30.02 is: 44.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.07 : 52.38 = 30.02 : x
  2. Step 2: Convert to fraction form
    35.07/52.38 = 30.02/x
  3. Step 3: Cross multiply
    35.07x = 52.38 × 30.02
  4. Step 4: Simplify right side
    35.07x = 1,572.45
  5. Step 5: Solve for x
    x = 1,572.45/35.07
  6. Step 6: Final answer
    x = 44.84

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Why These Related Problems?

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