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Finding the Fourth Proportional to 52.04, 71.80 and 32.64

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Solution

The fourth proportional to 52.04, 71.80 and 32.64 is: 45.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.04 : 71.80 = 32.64 : x
  2. Step 2: Convert to fraction form
    52.04/71.80 = 32.64/x
  3. Step 3: Cross multiply
    52.04x = 71.80 × 32.64
  4. Step 4: Simplify right side
    52.04x = 2,343.55
  5. Step 5: Solve for x
    x = 2,343.55/52.04
  6. Step 6: Final answer
    x = 45.03

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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.