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Finding the Fourth Proportional to 152.07, 209.75 and 93.04

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Solution

The fourth proportional to 152.07, 209.75 and 93.04 is: 128.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.07 : 209.75 = 93.04 : x
  2. Step 2: Convert to fraction form
    152.07/209.75 = 93.04/x
  3. Step 3: Cross multiply
    152.07x = 209.75 × 93.04
  4. Step 4: Simplify right side
    152.07x = 19,515.14
  5. Step 5: Solve for x
    x = 19,515.14/152.07
  6. Step 6: Final answer
    x = 128.33

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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.