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Finding the Fourth Proportional to 175.46, 242.07 and 110.01

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Solution

The fourth proportional to 175.46, 242.07 and 110.01 is: 151.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.46 : 242.07 = 110.01 : x
  2. Step 2: Convert to fraction form
    175.46/242.07 = 110.01/x
  3. Step 3: Cross multiply
    175.46x = 242.07 × 110.01
  4. Step 4: Simplify right side
    175.46x = 26,629.57
  5. Step 5: Solve for x
    x = 26,629.57/175.46
  6. Step 6: Final answer
    x = 151.77

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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.