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Finding the Fourth Proportional to 75.32, 103.80 and 53.44

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Solution

The fourth proportional to 75.32, 103.80 and 53.44 is: 73.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.32 : 103.80 = 53.44 : x
  2. Step 2: Convert to fraction form
    75.32/103.80 = 53.44/x
  3. Step 3: Cross multiply
    75.32x = 103.80 × 53.44
  4. Step 4: Simplify right side
    75.32x = 5,547.07
  5. Step 5: Solve for x
    x = 5,547.07/75.32
  6. Step 6: Final answer
    x = 73.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.