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Finding the Fourth Proportional to 152.92, 210.80 and 123.40

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Solution

The fourth proportional to 152.92, 210.80 and 123.40 is: 170.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.92 : 210.80 = 123.40 : x
  2. Step 2: Convert to fraction form
    152.92/210.80 = 123.40/x
  3. Step 3: Cross multiply
    152.92x = 210.80 × 123.40
  4. Step 4: Simplify right side
    152.92x = 26,013.59
  5. Step 5: Solve for x
    x = 26,013.59/152.92
  6. Step 6: Final answer
    x = 170.12

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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.