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Finding the Fourth Proportional to 124.64, 171.82 and 110.80

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Solution

The fourth proportional to 124.64, 171.82 and 110.80 is: 152.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.64 : 171.82 = 110.80 : x
  2. Step 2: Convert to fraction form
    124.64/171.82 = 110.80/x
  3. Step 3: Cross multiply
    124.64x = 171.82 × 110.80
  4. Step 4: Simplify right side
    124.64x = 19,038.01
  5. Step 5: Solve for x
    x = 19,038.01/124.64
  6. Step 6: Final answer
    x = 152.75

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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.