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Finding the Fourth Proportional to 117.65, 176.51 and 74.26

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Solution

The fourth proportional to 117.65, 176.51 and 74.26 is: 111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.65 : 176.51 = 74.26 : x
  2. Step 2: Convert to fraction form
    117.65/176.51 = 74.26/x
  3. Step 3: Cross multiply
    117.65x = 176.51 × 74.26
  4. Step 4: Simplify right side
    117.65x = 13,106.38
  5. Step 5: Solve for x
    x = 13,106.38/117.65
  6. Step 6: Final answer
    x = 111.40

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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.