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Finding the Fourth Proportional to 152.29, 210.20 and 90.17

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Solution

The fourth proportional to 152.29, 210.20 and 90.17 is: 124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.29 : 210.20 = 90.17 : x
  2. Step 2: Convert to fraction form
    152.29/210.20 = 90.17/x
  3. Step 3: Cross multiply
    152.29x = 210.20 × 90.17
  4. Step 4: Simplify right side
    152.29x = 18,953.02
  5. Step 5: Solve for x
    x = 18,953.02/152.29
  6. Step 6: Final answer
    x = 124.45

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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.