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Finding the Fourth Proportional to 36, 53.58 and 35.24

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Solution

The fourth proportional to 36, 53.58 and 35.24 is: 52.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36 : 53.58 = 35.24 : x
  2. Step 2: Convert to fraction form
    36/53.58 = 35.24/x
  3. Step 3: Cross multiply
    36x = 53.58 × 35.24
  4. Step 4: Simplify right side
    36x = 1,888.16
  5. Step 5: Solve for x
    x = 1,888.16/36
  6. Step 6: Final answer
    x = 52.45

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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.