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Finding the Fourth Proportional to 152.87, 210.88 and 90.67

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Solution

The fourth proportional to 152.87, 210.88 and 90.67 is: 125.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.87 : 210.88 = 90.67 : x
  2. Step 2: Convert to fraction form
    152.87/210.88 = 90.67/x
  3. Step 3: Cross multiply
    152.87x = 210.88 × 90.67
  4. Step 4: Simplify right side
    152.87x = 19,119.74
  5. Step 5: Solve for x
    x = 19,119.74/152.87
  6. Step 6: Final answer
    x = 125.08

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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.