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Finding the Fourth Proportional to 75.13, 112.56 and 59.02

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Solution

The fourth proportional to 75.13, 112.56 and 59.02 is: 88.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.13 : 112.56 = 59.02 : x
  2. Step 2: Convert to fraction form
    75.13/112.56 = 59.02/x
  3. Step 3: Cross multiply
    75.13x = 112.56 × 59.02
  4. Step 4: Simplify right side
    75.13x = 6,643.29
  5. Step 5: Solve for x
    x = 6,643.29/75.13
  6. Step 6: Final answer
    x = 88.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.