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Finding the Fourth Proportional to 35.49, 53.00 and 30.93

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Solution

The fourth proportional to 35.49, 53.00 and 30.93 is: 46.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.49 : 53.00 = 30.93 : x
  2. Step 2: Convert to fraction form
    35.49/53.00 = 30.93/x
  3. Step 3: Cross multiply
    35.49x = 53.00 × 30.93
  4. Step 4: Simplify right side
    35.49x = 1,639.25
  5. Step 5: Solve for x
    x = 1,639.25/35.49
  6. Step 6: Final answer
    x = 46.19

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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.